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Supersymmetry and Unified Theory of Elementary Panticles

Research Project

Project/Area Number 10209202
Research Category

特定領域研究

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

Principal Investigator

EGUCHI Tohru  東京大学, 大学院・理学系研究科, 教授 (20151970)

Co-Investigator(Kenkyū-buntansha) INAMI Takeo  Chuo University, Faculty of Science and Engineering, Professor, 大学院・理工学研究科, 教授 (20012487)
SAKAI Norisuke  Tokyo Institute of Technology, Faculty of Science, Professor, 大学院・理工学研究科, 教授 (80108448)
YANAGIDA Tsutomu  Graduate School of Science, Professor, 大学院・理学系研究科, 教授 (10125677)
SUNG-KIL Yang  University of Tsukuba, Institute of Physics, Professor, 物理学系, 教授 (70201118)
KAZAMA Yoichi  Graduate School of Arts and Science, Professor, 大学院・総合文化研究科, 教授 (60144317)
Project Period (FY) 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥46,500,000 (Direct Cost: ¥46,500,000)
Fiscal Year 2002: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2001: ¥13,600,000 (Direct Cost: ¥13,600,000)
Fiscal Year 2000: ¥9,600,000 (Direct Cost: ¥9,600,000)
Fiscal Year 1999: ¥10,800,000 (Direct Cost: ¥10,800,000)
Fiscal Year 1998: ¥11,000,000 (Direct Cost: ¥11,000,000)
Keywordssupersymmetry / superstring Theory / D-brane / duality / M-theory / brane world / D-ブレーン / 双対性 / M理論 / ブレーンワールド / Dブレーン / タキオン凝縮 / ブレーン・ワールド / ミラー対称性 / ブレーン / 非可換幾何学 / 統一理論 / 格子ゲージ理論 / AdS / CFT対応 / 統一ゲージ理論 / 可積分系
Research Abstract

平成10-13年度にわたって展開された特定領域研究「超対称性と素粒子の統一理論」の全体の研究成果をとりまとめた。また、特定領域研究の主要なテーマであった超弦理論の非摂動的力学の研究、特にG2ホロノミーを持つ多様体上にコンパクト化されたM理論の力学についての成果を取りまとめるために国内外の研究者と議論を行った。
G2ホロノミーをもつ7次元多様体はその上にキリング・スピノルが唯一つ存在するため4次元でN=1超対称性をもつゲージ理論・重力理論を与えることが知られている。このため現象論から要請される現実的な統一模型を導く可能性を持つものとして広く注目されている。今年度、江口はN=1コセット模型とリュービル場を用いた広いクラスの模型がG2ホロノミー多様体を記述することを示し共形場の手法を用いてその力学を調べた。
特定領域研究「超対称性と素粒子の統一理論」全体の主要な研究成果としては、特異性をもつカラビ・ヤウ空間上の弦理論、位相的弦理論とビラソロ予想(江口)、オービフォルド模型を用いた統一ゲージ模型の構成(柳田)、超対称行列模型の力学(風間)、超対称ゲージ理論のドメイン・ウォール解(坂井)、高次元ゲージ理論とヒッグス場の起源(稲見)、例外型ゲージ理論のサイバーグ・ウイッテン解(梁)などがある。特に、位相的弦理論の振幅がビラソロ代数を満たす無限個の微分作用素によって消されることを主張するビラソロ予想はこうした方面の研究に大きなインパクトを与えた。また、オービフォルドなどの弦理論の手法を用いて統一ゲージ模型を構成する研究は引き続き活発に行われている。
これらの研究をはじめとした全研究分担者の研究成果をとりまとめて報告書を出版した。

Report

(6 results)
  • 2002 Annual Research Report
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (73 results)

All Other

All Publications (73 results)

  • [Publications] Tohru Eguchi: "Seiberg-Witten Curve for the E-String Theory"JHEP. 0205. 058 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tohru Eguchi: "String Theory on G2 Manifolds Based on Gepner Construction"Nucl.Phys.. B630. 132-150 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tohru Eguchi: "String Duality"American Mathematical Society Proceedings. 15. 53-70 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Eguchi: "Quantum Cohomology at Higher Genus"Adv.Theor.Math.Phys.. 2. 217-227 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Inami: "The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories"Mod.Phys.Lett.. A13. 2601-2612 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Yanagida: "Primordial Black Hole Formation in Supergravity"Phys.Rev.. D59. 043512 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.Sakai: "M Theory and the "integrating in" method with an antisymmetric tensor"Phys.Rev.. D58. 066002 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kazama: "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
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.-K.Yang: "Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD"Nucil.Phys.. B535. 512-530 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Inami: "The Continuum Limit of the Integrable Open Spin-1/2 Chain"Journ.Phys.Soc. Japan. 68. 319-321 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 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
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.Sakai: "Duality Symmetries in Non-Linear Gauge Theories"Int.J.Mod.Phys.. A7. 1139-1149 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Yanagida: "Bimaximal neutrino mixing in SO(10)(GUT)"Phys.Rev.. D59. 017303 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.K.-Yang: "Seiberg-Witten Geometry with Various Matter Contents"Nucl.Phys.. B537. 344-360 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Eguchi: "Five-Dimensional Gauge Theories and Local Mirror Symmetry"Nucl.Phys.. B586. 331-345 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kazama: "On the Supersymmetry and Gauge Structure of Matrix Theory"Nucl.Phys.. B584. 171-196 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.Sakai: "Nonnormalizable Zero Modes on BPS Junctions"Nucl.Phys.. B586. 231-260 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Yanagida: "Quintessence Axion Potential Induced by Electroweak Instanton Effects"Phys.Lett.. B484. 103-111 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Inami: "Ultraviolet Properties of Noncommutative Wess-Zumino-Witten Model"Mod.Phys.Lett.. 15. 997-1002 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Eguchi: "CFT Description of String Theory Compactified on Noncompact Manifolds with G2 Holonomy"Phys.Lett.. B519. 149-158 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.K.-Yang: "Duality Between String Junctions and D-Branes on Del Pezzo Surfaces"Nucl.Phys.. B595. 138-164 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Eguchi: "ADE Singularities and Coset Models"Nucl.Phys.. B607. 3-37 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kazama: "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
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Inami: "Cancellation of UV Divergences in the N=4 Susy Nonlinear Sigma Model in Three-Dimensions"Mod.Phys.Lett.. A16. 1643-1650 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.Sakai: "BPS Walls and Junctions in Susy Nonlinear Sigma Models"Phys.Rev.. D65. 045016 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Yanagida: "Leptogenesis Via LH(U) Flat Direction with a Gauged U(1)(B-L)"Phys.Rev.. D65. 043511 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Eguchi: "Quantum Cohomology at Higher Genus"Adv. Theor. Math. Phys.. 2. 217-227 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Inami: "The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories"Mod. Phys. Lett.. A13. 2601-2612 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Yanagida: "Primordial Black Hole Formation in Supergravity"Phys. Rev.. D59. 043512 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N. Sakai: "M Theory and the "integrating in" method with an antisymmetric tensor"Phys. Rev.. D58. 066002 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Kazama: "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
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.-K. Yang: "Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD"Nucl. Phys.. B535. 512-530 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Inami: "The Continuum Limit of the Integrable Open Spin-1/2 Chain"Journ. Phys. Soc. Japan. 68. 319-321 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 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(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N. Sakai: "Duality Symmetries in Non-Linear Gauge Theories"Int. J. Mod. Phys.. A7. 1139-1149 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Yanagida: "Bimaximal neutrino mixing in SO(10)(GUT)"Phys. Rev.. D59. 017303 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.K.-Yang: "Seiberg-Witten Geometry with Various Matter Contents"Nucl. Phys.. B537. 344-360 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Eguchi: "Five-Dimensional Gauge Theories and Local Mirror Symmetry"Nucl. Phys. B586. 331-345 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Kazama: "On the Supersymmetry and Gauge Structure of Matrix Theory"Nucl. Phys.. B584. 171-196 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N. Sakai: "Nonnormalizable Zero Modes on BPS Junctions"Nucl. Phys.. B586. 231-260 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Yanagida: "Quintessence Axion Potential Induced by Electroweak Instanton Effects"Phys. Lett.. B484. 103-111 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Inami: "Ultraviolet Properties of Noncommutative Wess-Zumino-Witten Model"Mod. Phys. Lett.. 15. 997-1002 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Eguchi: "CFT Description of String Theory Compactified on Noncompact Manifolds with G2 Holonomy"Phys. Lett.. B519. 149-158 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. K.-Yang: "Duality Between String Junctions and D-Branes on Del Pezzo Surfaces"Nucl. Phys. B595. 138-164 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Eguchi: "ADE Singularities and Coset Models"Nucl. Phys.. B607. 3-37 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kazama: "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(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Inami: "Cancellation of UV Divergences in the N=4 Susy Nonlinear Sigma Model in Three-Dimensions"Mod. Phys. Lett.. A16. 1643-1650 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N. Sakai: "BPS Walls and Junctions in Susy Nonlinear Sigma Models"Phys. Rev. D65. 045016 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Yanagida: "Leptogenesis Via LH(U) Flat Direction with a Gauged U(1)(B-L)"Phys. Rev. D65. 043511 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Eguchi: "CFT Description of String Theory Compactified on Noncompact Manifolds with G_2 Holonomy"Phys.Lett.. B519. 149-158 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Eguchi: "ADE Singularities and Coset Models"Nuci.Phys.. B607. 3-37 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kazama: "A Theorem on the Power of Supersymmetry in Matrix Theory"Nuci.Phys.. B613. 17-33 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Inami: "Cancellation of UV Divergences in the N=4 Susy Nonlinear Sigma Model in Three-Dimensions"Mod.Phys.Lett.. A16. 1643-1650 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Naganuma: "BPS Walls and Junctions in Susy Nonlinear Sigma Models"Phys.Rev.. D65. 045016 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Fujii: "Leptogenesis Via LH(U) Flat Direction With a Gauged U(1)(B-L)"Phys.Rev.. D65. 043511 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tohru Eguchi: "Five-Dimensional Gauge Theories and Local Mirror Symmetry"Nuclear Physics. B586. 331-345 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Sung-Kil Yang: "Duality Between String Junctions and D-Branes on Del Pezzo Surfaces"Nuclear Physics. B595. 138-164 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yoichi Kazama: "On the supersymmetry and gauge structure of Matrix theory"Nuclear Physics. B584. 171-196 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Norisuke Sakai: "Nonnormalizable Zero Modes on BPS Junctions"Nuclear Physics. B586. 231-260 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tsutomu Yanagida: "Quintessence axion potential induced by electroweak instanton effects"Physics Letters. B484. 103-111 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Takeo Inami: "Ultraviolet Properties of Noncommutative Wess-Zumino-Witten Model"Modern Physics Letters. 15. 997-1002 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T. Inami: "The Continuum Limit of the Integrable Open Spin-1/2 Chain"Journ. Phys. Soc. Japan. 68. 319-321 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Kazama: "Interaction of D-string with F-string : A Path-Integral Formalism"Int. J. Mod. Phys.. A14. 1531-1550 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] N. Sakai: "Duality Symmetries in Non-Linear Gauge Theories"Int. J. Mod. Phys.. A7. 1139-1149 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T. Yanagida: "Bimaximal neutrino mixing in SD(10) (GUT)"Phys. Rev.. D59. 017303 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S. K. Yang: "Seiberg-Witten Geometry with Various Matter Contents"Nucl. Phys.. B537. 344-360 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Eguchi: "Quantum Cohomolohy at Higher Genus." Adv.Theor.Math.Phys.2. 217-227 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Yanagida: "Primordial Black Hole Formation in Supergravity." Phys.Rev.D59. 043512 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Inami: "The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories." Mod.Phys.Lett.A13. 2601-2612 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Sakai: "M Theory and the “integrating in" method with an antisymmetric tensor." Phys.Rev.D58. 066002 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Kazama: "Quantum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory." Phys.Rev.Lett.81. 5072-5075 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.-K.Yang: "Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD." Nucl.Phys.B535. 512-530 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Eguchi: "Kluwer Pub." Seiberg-Witten Theory and S-Duality., 103-120 (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2019-02-15  

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