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2001 Fiscal Year Final Research Report Summary

Study of Non-perturbative Properties of Superstring Theory

Research Project

Project/Area Number 10209204
Research Category

Grant-in-Aid for Scientific Research on Priority Areas (B)

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionThe University of Tokyo

Principal Investigator

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)

Co-Investigator(Kenkyū-buntansha) KUGO Taichi  Kyoto Univ. Graduate School of Science, Professor, 大学院・理学研究科, 教授 (00115833)
SUZUKI Hisao  Hokkaido Univ. Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 (20192619)
KATO Akishi  Univ. of Tokyo, Graduate School of Mathematical Sciences, Associate Professor, 大学院・数理科学研究科, 助教授 (10211848)
Project Period (FY) 1998 – 2001
KeywordsMatrix Model for M theory / Conformal Symmetry / Supersymmetry / AdS_3 Space-time / Supersymmetric Gauge Theory / Superstring / E_6 GUT / Conformal Supergravity
Research Abstract

Kazama clarified the quantum mechanical origin of the conformal symmetry on the gauge theory side, which plays the pivotal role in the AdS/CFT correspondence. Further, he showed that conformal symmetry exists in a generalized sense in more general theories including the Matrix model for M theory. He then made, for the first time, a detailed study of the role of supersymmetry in determining the fully off-shell effective action of a DO particle. He obtained the complete effective action and the supersymmetry transformations at order 4 in the derivative expansion and rigorously proved a number of important non-renormalization theorems.
Kato clarified how the large N divergence is related to the ordinaryUV/IR divergences in quantum field theories, and obtained various bounds on the scaling exponents. The modular invariance of the partition function of the SL(2, R) WZW model is studied with Dr. Y. Sato. It was shown that the truncation to unitary discrete series is not compatible with the mo … More dular invariance and that the coupling between the long and short strings is inevitable on AdS_3 specetime.
Currently, together with H. Awata, Y. Saito, Y. Shimizu and A. Tsuchiya, he is studying in detail the relationship between the geometry of rational elliptic surfaces and the dynamics of the supersymmetric gauge theories.
Suzuki has performed an analysis of phase transition of supersymmetric gauge theories and superstring theories, especially for exactly solvable models. In supersymmetric gauge theories, it was shown that physical quantities can be calculated directly from their integral representations. In addition, a technique was developed for examining physical quantities for superstring theories. An analysis has been made about conformal fixed point both for gauge theories and superstring theories.
Kugo constructed a supersymmetric GUT model based on E_6 which incorporates the Frogatt-Nielsen mechanism using an anomalous U(l) quantum number, and showed that the model can explain the mass matrix patterns consistent with all the experimental data for all the quark/lepton/neutrino sectors. In the brane world scenario, he pointed out the phenomenological importance of the fluctuation modes of our 3-brane. Moreover, the superconformal tensor calculus is presented for five dimensional space-time case. in which one direction is compactified on an orbifold S^l/2_2. Less

  • Research Products

    (42 results)

All Other

All Publications (42 results)

  • [Publications] A.Jevicki, Y.Kazama, T.Yoneya: "Quantum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory"Phys.Rev.Lett.. 81. 5072-5075 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kar, Y.Kazama: "Interaction of D-string with F-string : A. Path-Integral Formalism"Int.J.Mod.Phys.. A14. 1531-1550 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Jevicki, Y.Kazama, T.Yoneya: "Generalized Conformal Symmetry in D-Brane Matrix Model"Phys.Rev.. D59. 066001 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Douglas, A.Kato, H.Ooguri: "D-Brane Actions on Kahler Manifolds"Adv.Theory Math.Phys.. 1. 237-258 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Masuda, H.Suzuki: "Prepotential of N=2 Supersymmetric Yang-Mills Theories in weak coupling region"Int.J.Mod.Phys.. A13. 1495-1506 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Masuda, T.Sasaki, H.Suzuki: "Seiberg-Witten Theories of Rank Z Gauge Groups and Hypergeometric Series"Int.J.Mod.Phys.. A13. 3121-3144 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kar, Y.Kazama: "Interaction of D-string with F-string : A Path-Integral Formalism"Int.J.Mod.Phys.. A. 1531-1550 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kajiura, A.Kato, S.Ogushi: "Comments on the Large N Matrix Model"Prog.Theor.Phys.. 103. 197-223 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Masuda, H.Suzuki: "Prepotentials, Bi-linear Form on Periods and Enhanced Gauge Symmetries in Type-II Strings"Int.J.Mod.Phys.. A14. 1177-1203 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Suzuki, E.Takasugi, H.Umetsu: "Analytic solutions of Teukolsky equations in Ker-de-Sitter and Ker-Newman-de Sitter metric"Prog.Theor.Phys.. 102. 253-272 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Bondo, T.Kugo, T.Noguchi, K.Yoshioka: "Brane Fluctuation and Suppression of Kaluza-Klein Mode Couplings"Phys.Rev.Lett.. 83. 3601-3604 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kazama, T.Muramatsu: "On the supersymmetry and gauge structure of Matrix theory"Nuclear Physics. B584. 171-196 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Akishi Kato, Yuji Satoh: "Modular invariance of string theory on AdS_3"Physics Letters. B486. 306-313 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Suzuki, E.Takasugi, H.Umetsu: "Absorption rate of the Kerr-de Sitter black hole and the Kerr-Newman-de Sitter black hole"Prog.Theor.Phys.. 103. 723-731 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kugo, K.Yoshioka: "Probing Extra Dimensions using Nambu-Goldstone Bosons"Nuclear Physics. B594. 301-328 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Bando, T.Kugo, K.Yoshioka: "Mass Matrices in E_6 Unification"Prog.Theor.Phys.. 104. 211-236 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Bando, T.Kugo, K.Yoshioka: "Novel Relations between Lepton and Quark Mixings"Physics Letters. B483. 163-167 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kazama, T.Muramatsu: "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
  • [Publications] Y.Kazama, T.Muramatsu: "A Theorem on the Power of Supersymmetry in Matrix Theory"Nucl.Phys.. B613. 17-33 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [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(和文)」より
  • [Publications] T.Kugo: "Off-Shell Formulation of Supergravity on Orbifold"Prog.Theor.Phys.. 106. 671-690 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A. Jevicki, Y. Kazama, T. Yoneya: "Quantum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory"Phys. Rev. Lett.. 81. 5072-5075 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Kar and Y. Kazama: "Interaction of D-string with F-string : , A. Path-Integral Formalism"Int. J. Mod. Phys. A. (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Jevichi, Y. Kazama, T. Yoneya: "Generalized Conformal Symmetry in D-Brane Matrix Model"Phys. Rev. D. (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Douglas, A. Kato, H. Ooguri: "D-Brane Actions on Kahler Manifolds"Adv. Theory Math. Phys.. 1. 237-258 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Masuda and H. Suzuki: "Prepotential of N = 2 Supersymmetric Yang-Mills Theories in weak coupling region"Int. J. Mod. Phys.. A13. 1495-1506 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Masuda, T. Sasaki and H. Suzuki: "Seiberg-Witten Theories of Rank Z Gauge Groups and Hypergeometric Series"Int. J. Mod.Phys.. A13. 3121-3144 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Kar and Y. Kazama: "Interaction of D-string with F-string : A Path-Integral Formalism"Int. J. Med. Phys.. A. 1531-1550 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Kajiura, A. Kato and S. Ogushi: "Comments on the Large N Matrix Model"Prog. Theor. Phys.. 103. 197-223 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Masuda and H. Suzuki: "Prepotentials, Bi-linear Form on Periods and Enhanced Gauge Symmetries in Type-II Strings"Int. J. Mod. Phys.. A14. 1177-1203 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Suzuki, E. Takasugi and H. Umetsu: "Analytic solutions of Teukolsky equations in Ker-de-Sitter and Ker-Newman-de Sitter metric"Prog. Theor. Phys.. 102. 253-272 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Bando, T. Kugo, T. Noguchi and K. Yoshioka: "Brane Fluctuation and Suppression of Kaluza-Klein Mode Couplings"Phys. Rev. Lett.. 83. 3601-3604 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Kazama and T. Muramatsu: "On the supersymmetry and gauge structure of Matrix theory"Nuclear Physics. B584. 171-196 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Kato and Y. Sato: "Modular invariance of string theory on AdS_3"Phys. Letters.. B486. 306-313 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Suzuki, E. Takasugi and H. Umetsu: ""Absorption rate of the Kerr-de Sitter black hole and the Kerr-Newman-de Sitter black hole"Prog. Theor. Phys.. 103. 723-731 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kugo and K. Yoshioka: "Probing Extra Dimensions using Nambu-Goldstone Bosons"Nuculear Physics. B594. 301-328 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Bando, T. Kugo and K. Yoshioka: "Mass Matrices in E_6 Unification"Prog. Theor. Phys. 104. 211-236 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Bando, T. Kugo and K. Yoshioka: "Novel Relations between Lepton and Quark Mixings"Physics Letters. B483. 163-167 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Kazama and T. Muramatsu: "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(欧文)」より
  • [Publications] Y. Kazama and T. Muramatsu: "A Theorem on the Power of Supersymmetry in Matrix Theory"Nuclear Physics. B613. 17-33 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Kazama and 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
  • [Publications] T. Kugo: "Off-Shell Formulation of Supergravity on Orbifold"Prog. Theor. Phys.. 106. 671-690 (2001)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2004-04-14  

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