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Towards nonperturbative M-theory

Research Project

Project/Area Number 12440060
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionThe University of Tokyo

Principal Investigator

YONEYA Tamiaki  The University of Tokyo, Graduate School of Arts and Science, Professor, 大学院・総合文化研究科, 教授 (10091521)

Co-Investigator(Kenkyū-buntansha) HASHIMOTO Koji  The University of Tokyo, Graduate School of Arts and Science, Assistant Professor, 大学院・総合文化研究科, 助手 (80345074)
KATO Mitsuhiro  The University of Tokyo, Graduate School of Arts and Science, Associate Professor, 大学院・総合文化研究科, 助教授 (80185876)
KAZAMA Yoichi  The University of Tokyo, Graduate School of Arts and Sciences, Professor, 大学院・総合文化研究科, 教授 (60144317)
Project Period (FY) 2000 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥9,300,000 (Direct Cost: ¥9,300,000)
Fiscal Year 2003: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2002: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2001: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2000: ¥3,300,000 (Direct Cost: ¥3,300,000)
KeywordsString theory / M-Theory / Quantum gravity / Holographic principle / Quantum field theory / Supersymmetry / PP-wave / Tachyon condensation / 超弦理論 / M理論 / AdS / CFT対応 / holographic principle / 量子重力 / 超対称性 / タキオン凝縮 / 行列理論 / 非可換場の理論 / 超重力理論 / 統一理論
Research Abstract

The main objective of this research project is to carry out various studies towards a concrete construction of nonperturbative formulation of the so-called M-theory. The M-theory is supposed to be a deeper theory behind superstring theory, which has been studied more than 30 years since its first discovery as a prime candidate for unifying two principal frameworks of fundamental physics, namely, quantum theory and relativity theory. In this project, we have developed various new methods for formulating string theories and their possible extensions towards M-theories. We have also found various new properties of string theories with respect to its space-time structure in the short-distance regime, and in particular, to symmetry properties, such as supersymmetry, conformal symmetry, holographic principle and space-time uncertanty principle.
We have also discussed detailed dynamics of the D-brane degrees of freedom and supermembranes, which have been expected to be prime physical degrees of freedom of string/M-theories.

Report

(5 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (83 results)

All Other

All Publications (83 results)

  • [Publications] Tamiaki Yoneya: "String Theory and the Space-Time Uncertainty Principle"Prog.Theor.Phys.. 103. 1081-1125 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "Space-Time Uncertainty and Noncommutativity in String Theory"Int.J.Mod.Phys.A. 16. 945-956 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tabito Hara: "Nonlinear Supersymmetry without the GSO Projection and Unstable D9-Brane"Nucl.Phys.B. 602. 499-513 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yasuhiro Sekino: "From supermembrane to matrix strings"Nucl.Phys.B. 619. 22-50 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "String Theory and Gravitation"Prog.Theor.Phys.Suppl.. 144. 176-194 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Suguru Dobashi: "Holographic Reformulation of String Theory on AdS_5 xS^5 Background in the PP-wave Limit"Nucl.Phys.B. 665. 94-128 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "What is Holography in the Plane-Wave Limit of the AdS/SYM Correspondence?"Prog.Theor.Phys.Suppl.. 152. 108-120 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Masako Asano: "PP-Wave Holography for Dp-Brane Backgrounds"Nucl.Phys.B. 678. 169-232 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama: "On the Supersymmetry and Gauge Structure of Matrix Theory"Nucl.Phys.B. 584. 171-196 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama: "Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory"Class.Quant.Grav.. 18. 2277-2296 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama: "Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II"Class.Quant.Grav.. 18. 5545-5560 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama: "A Theorem on the Power of Supersymmetry in Matrix Theory"Nucl.Phys.B. 613. 17-33 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama: "Power of Supersymmetry in D-particle Dynamics"Nucl.Phys.B. 656. 93-131 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Aisaka: "A new First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring"JHEP. 0302. 017 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Aisaka: "Operator mapping between RNS and extended pure spinor formalisms for superstring"JHEP. 0308. 047 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh: "Super Yang-Mills Theory on Lattice and the Transformation"Nucl.Phys.Proc.Suppl.. 106. 947-949 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh: "Towards the Super Yang-Mills Theory on the Lattice"Prog.Theor.Phys.. 108. 363-374 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh: "Vacuum Structure of the Ichimatsu-Decomposed Lattice Models"Nucl.Phys.Proc.Suppl.. 119. 906-908 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh: "Fermionic Symmetry in Ichimatsu Decomposed Lattice Models"Nucl.Phys.Proc.Suppl.. 119. 903-905 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh: "Novel Approach to Super Yang-Mills Theory on Lattice : Exact fermionic symmetry and 'Ichimatsu' pattern"JHEP. 0302. 033 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Realization of brane descent relations in effective theories"Phys.Rev.D. 66. 026001 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Dynamical Decay of Brane-Antibrane and Dielectric Brane"JHEP. 0207. 035 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Gary W.Gibbons: "Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings"JHEP. 0209. 061 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Brane-Antibrane as a Defect of Tachyon Condensation"JHEP. 0212. 064 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "S-brane Actions"Phys.Rev.Lett.. 90. 14160T (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Time Evolution via S-branes"Phys.Rev.D. 68. 026007 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Recombination of Intersecting D-branes by Local Tachyon Condensation"JHEP. 0306. 034 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Strings between Branes"JHEP. 0310. 040 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "String Theory and the Space-Time Uncertainty Principle"Prog.Theor.Phys.. 103. 1081-1125 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "Space-Time Uncertainty and Noncommutativity in String Theory"Int.J.Mod.Phys.A. 16. 945-956 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tabito Hara, Tamiaki Yoneya: "Nonlinear Supersymmetry without the GSO Projection and Unstable D9-Brane"Nucl.Phys.. 602. 499-513 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yasuhiro Sekino, Tamiaki Yoneya: "From Supermembrane to Matrix String"Nucl.Phys.. 619. 22-50 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "String Theory and Gravitation"Prog.Theor.Phys.Suppl.. 144. 176-194 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Suguru Dobashi, Hidehiko Shimada, Tamiaki Yoneya: "Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit"Nucl.Phys.B. 665. 94-128 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tamiaki Yoneya: "What is Holography in the Plane-Wave Limit of the AdS/SYM Correspondence ?"Prog.Theor.Phys.Suppl.. 152. 108-120 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Masako Asano, Yasuhiro Sekino, Tamiaki Yoneya: "PP-Wave Holography for Dp-Brane Backgrounds"Nucl.Phys.B. 678. 197-232 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama, T.Muramatsu: "On the Supersymmetry and Gauge Structure of Matrix Theory"Nucl.Phys.B. 584. 17-196 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama, T.Muramatsu: "Fully Off-shell Effective Action and its Super symmetry in Matrix Theory"Class.Quant.Grav.. 18. 2277-2296 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama, T.Muramatsu: "Fully Off shell Effective Action and its Supersymmetry in Matrix Theory II"Class.Quant.Grav.. 18. 5545-5560 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama, T.Muramatsu: "A Theorem on the Power of Supersymmetry in Matrix Theory"Nucl.Phys.B. 613. 17-33 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kazama, T.Muramatsu: "Power of Supersymmetry in D-particle Dynamics"Nucl.Phys.B. 656. 93-131 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Aisaka, Y.Kazama: "A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring"JHEP. 0302. 017 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Aisaka, Y.Kazama: "Operator Mapping between RNS and Extended Pure Spinor Formalisms for Superstring"JHEP. 0308. 047 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh, M.Kato, H.Sawanaka, H.So, N.Ukita: "SUPERYANG-MILLS THEORY ON LATTICE AND THE TRANSFORMATION"Nucl.Phys.Proc.Suppl.. 106. 947-949 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Katsumi Itoh, Mitsuhiro Kato, Hideyuki Sawanaka, Hiroto So, Naoya Ukita: "TOWARDS THE SUPERYANG-MILLS THEORY ON THE LATTICE"Prog.Theor.Phys.. 108. 363-374 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh, M.Kato, M.Murata, H.Sawanaka, H.So: "VACUUM STRUCTURE OF THE ICHIMATSU DECOMPOSED LATTICE MODEL"Nucl.Phys.Proc.Suppl.. 119. 906-908 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Itoh, M.Kato, H.Sawanaka, H.So, N.Ukita: "FERMIONIC SYMMETRY IN ICHIMATSU DECOMPOSED LATTICE MODELS"Nucl.Phys.Proc.Suppl.. 119. 903-905 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Katsumi Itoh, Mitsuhiro Kato, Hideyuki Sawanaka, Hiroto So, Naoya Ukita: "NOVEL APPROACH TO SUPERYANG-MILLS THEORY ON LATTICE EXACT FERMIONIC SYMMETRY AND 'ICHIMATSU' PATTERN"JHEP. 0302. 033 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Satoshi Nagaoka: "Realization of Brane Descent Relations in Effective Theories"Phys.Rev.D. 66. 026001 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto: "Dynamical Decay of Brane-Antibrane and Dielectric Brane"JHEP. 0207. 035 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Gary W.Gibbons, Koji Hashimoto, Piljin Yi: "Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings"JHEP. 0209. 061 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Norisuke Sakai: "Brane-Antibrane as a Defect of Tachyon Condensation"JHEP. 0212. 064 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Pei-Ming Ho, John E.Wang: "S-brane Actions"Phys.Rev.Lett.. 90. 141601 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Pei-Ming Ho, Satoshi Nagaoka, John E.Wang: "Time Evolution via S-branes"Phys.Rev.D. 68. 026007 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Satoshi Nagaoka: "Recombination of Intersecting D-branes by Local Tachyon Condensation"JHEP. 0306. 034 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Koji Hashimoto, Washington Taylor: "Strings between Branes"JHEP. 0310. 040 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Masako Asano: "PP-wave holography for Dp-brane backgrounds"Nucl.Phys.B. 678. 197-232 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Tamiaki Yoneya: "What is Holography in the Plane-Wave Limit of the AdS 5 /SYM 4 Correspondence?"Prog.Theor.Phys.Suppl.. 152. 108-120 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Katsumi Ito: "Vacuum Structure of the Ichimatsu-Decomposed Lattice Models"Nucl.Phys.Proc.Suppl.. 119. 906-908 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yuri Aisaka: "A new first class algebra, homological perturbation and extension of pure spinor formalism"JHEP. 0302. 017 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yuri Aisaka: "Operator Mapping between RNS and Extended Pure Spinor Formalisms"JHEP. 0308. 047 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Koji Hashimoto: "Strings between branes"JHEP. 0310. 040 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Yoneya: "World-Sheet Duality and the Hiddn Supersymmetry"Am.Inst.Phys.Proc.. 607. 22-50 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Kazama: "Power of Super symmetry in D-particle Dynamics"Nuel.Phys.B. (発売予定).

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Aisaka: "A New First Class Alsebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstrings"JHHP. (発売予定).

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Itoh: "Toward a Super Yang-Mills Theory on the Lattice"Prog.Theor.Phys. 108. 363-374 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Itoh: "Exact Femiovic symmetry and "Ichimatsu" Pattern"JHEP. 02. 033 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Hashimoto: "Brane-Antibrane as a Defect of Tachgon Condeusation"JHEP. 0212. 064 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] L.Keldysh: "Proceedings of Third International Sakhavov conference"Science World (Moscow). 833 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Sekino: "From supermembrane to matrix string"Nucl. Phys. B. B619. 22-50 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Hara: "Nonlinear supersymmetry without the GSO progection and unstable D9-brane"Nucl. Phys. B. B602. 499-513 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Yoneya: "Space-time uncertainty and noncommutativity"Int. J. Mod. Phys. A. A16. 945-956 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Awata: "On the quantization of Nambu brackets"JHEP. 02. 013-028 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Yoneya: "String theory and the uncertainty principle"Current Science. 81. 1554-1560 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kazama: "Fully off-shell effective action and its supersymmetry in Matrix theory"Class. Quant. Gravity. 18. 2277-2296 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kazama: "A theorem on the power of supersymmetry in matrix theory"Nucl. Phys. B. B613. 17-33 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kazama: "Fully off-shell effective action and its supersymmetry in Matrix theory II"Class. Quant. Gravity. 18. 5545-5560 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Itoh: "Super Yang-Mills theory on lattice and the transformation"Nucl. Phys. Proc. Suppl.. 106. 947-949 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Sekino: "Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit "Nuclear Physics. B570. 174-206 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Yoneya: "Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory "Classical and Quantum Gravity. 17. 1307-1316 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Yoneya: "Spontaneously Broken Space-Time Supersymmetry in Open String Theory without GSO Projection "Nuclear Physics. B576. 219-240 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Yoneya: "String Theory and the Space-Time Uncertainty Principle "Prog.Theor Phys.. 103. 1081-1125 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Kazama: "On the Supersymmetry and Gauge Structure of Matrix Theory."Nuclear Physics. B54. 171-196 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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