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2001 Fiscal Year Final Research Report Summary

Supersymmetric theories and nonperturbative effects

Research Project

Project/Area Number 10209207
Research Category

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

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

SAKAI Norisuke  Tokyo Institute of Technology, Physics Department, Processor, 大学院・理工学研究科, 教授 (80108448)

Co-Investigator(Kenkyū-buntansha) TANII Yoshiaki  Saitama University, Physics Department, Associate Professor, 理学部, 助教授 (50207172)
Project Period (FY) 1998 – 2001
KeywordsSupersymmetry / Models with extra dimensions / Domain wall / Junction / Nonlinear sigma model / Anti de Sitter space / Supergravity / Duality
Research Abstract

Sakai and collaborators found a new nonperturbative effects by comparing results obtained from supersymmetric gauge theories and nonperturbative effects derived from analysis with branes. They also constructed a series of exact solutions of junctions in linear and nonlinear sigma models with four supercharges. When several lumps coexist in nonlinear sigma models with eight supercharges, they have shown that part of supersymmetry is still preserved if directions of lumps are corelated with the complex structure of the lumps. They also succeeded to construct coexisting solutions for walls and a string. If there are two or more walls of different kind, supersymmetry may be broken completely. They have found a model which admits exact non-BPS solutions of two walls which realize this supersymmetry breaking mechanism. They have shown that topological quantum number makes the configuration stable. These studies help to introduce supersymmetry into models with extra dimensions and to construct soliton solutions such as a stable wail. Tanii and his collaborators mainly studied the AdS/CFT correspondence. In particular, they examined its local symmetry structure and found that local transformations of supergravity in the bulk of anti de Sitter space induce transformations of conformal supergravity on the boundary. Using this result we computed anomalies of a conformal field theory in the conformal supergravity background on the boundary and found that they reproduce the ones obtained by the ordinary field theoretical method. In connection to the AdS/CFT correspondence we studied stability of massive antisymmetric tensor fields with the Chern-Simons type action in anti de Sitter spacetime and found the condition for the stability. We also studied duality symmetries of antisymmetric tensor fields in general even dimensions, and a relation between nonlinear supersymmetry and linear supersymmetry.

  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] H.Oda, S.Tomizawa, N.Sakai, T.Sakai: "M theory and the "integrating in " method with an antisymmetric tensor"Phys.Rev.. D58. 066002-1-066002-7 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Ito, H.Oda, M.Naganuma, N.Sakai: "An exact solution of BPS domain wall junction"Phys.Lett.. B471. 140-148 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Moshe, N.Sakai: "D0-and D1-Branes With kappa_-and kappa_+ Extended Symmetry"Phys.Rev.. D62. 086004-1-086004-8 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.ito, M.Naganuma, H.Oda, 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
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, R.Sugisaka: "SUSY Breaking by Overlap of Wave Functions in Coexisting Walls"Phys.Lett.. B496. 98-106 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Sakai, S.Tomizawa: "Our World as an Intersection of Walls and a String"Nucl.〜Phys.. B602. 413-433 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, R.Sugisaka: "Simple SUSY Breaking Mechanism by Coexisting Walls"Nucl.Phys.. B616. 47-84 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Ito, M.Naganuma, H.Oda, N.Sakai: "An exact Solution of BPS junctions and its properties"Nucl.Phys.Suppl.. 101. 304-313 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Naganuma, M.Nitta, N.Sakai: "BPS Lumps and Their Intersections in N=2 SUSY Nonlinear Sigma Models"G@C, special issue devoted to Quantum Gravity, Unified Models and Strings to mark 100th anniversary of Tomsk state Pedagogical University. (To appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Naganuma, M.Nitta, N.Sakai: "BPS Walls and Junctions in SUSY Nonlinear Sigma Models"Phys.Rev.. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, R.Sugisaka: "SUSY Breaking by Stable non-BPS Walls"Proceedings of 10th Tohwa international symposium on string theory. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Araki, Y.Tanii: "Duality symmetries in non-linear gauge theories"Int.J.Mod.Phys.. A14. 1139-1149 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Nishimura, Y.Tanii: "Supersymmetry in the AdS/CFT correspondence"Phys.Lett.. B446. 37-42 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Nishimura, Y.Tanii: "Super Weyl anomalies in the AdS/CFT correspondence"Int.J.Mod.Phys.. A14. 3731-3743 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Nishimura, Y.Tanii: "Local symmetries in the AdS_7/CFT_6 correspondence"Mod.Phys.Lett.. A14. 2709-2719 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.S.Deger, A.Kaya, E.Sezgin, P.Sundell, Y.Tanii: "Chern-Simons supergravity plus matter near the boundary of AdS_3"Nucl.Phys.. B604. 343-366 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Shima, Y.Tanii, M.Tsuda: "On linearization of N=1 nonlinear supersymmetry"Phys.Lett.. B525. 183-188 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hata, Y.Tanii: "Stability of antisymmetric tensor fields of Chern-Simons type in AdS spacetime"Nucl.Phys.. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Oda, S. Tomizawa, N. Sakai and T. Sakai: "M theory and the "integrating in" method with an antisymmetric tensor"Phys. Rev.. D58. 066002 1-7 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Ito, H. Oda, M. Naganuma, and N. Sakai: "An exact solution of BPS domain wall junction"Phys. Lett.. B471. 140-148 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Moshe and N. Sakai: "D0- and D1-Branes With k_- and K_+ Extended Symmetry"Phys. Rev.. D62. 086004 1-8 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Ito, M. Naganuma, H. Oda, and 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
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, and R. Sugisaka: "SUSY Breaking by Overlap of Wave Functions in Coexisting Walls"Phys. Lett.. B496. 98-106 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Sakai and S. Tomizawa: "Our World as an Intersection of Walls and a String"Nucl. Phys.. B602. 413-433 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, and R. Sugisaka: "Simple SUSY Breaking Mechanism by Coexisting Walls"Nucl. Phys.. B616. 47-84 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Ito, M. Naganuma, H. Oda, and N.Sakai: "An exact Solution of BPS junctions and its properties"Nucl. Phys. Suppl.. 101. 304-313 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Naganuma, M.Nitta, and N.Sakai: "BPS Lumps and Their Intersections in N = 2 SUSY Nonlinear Sigma Models"G@C, special issue devoted to Quantum Gravity, Unified Models and Strings to mark 100th anniversary of Tomsk state Pedagogical University. To appear.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Naganuma, M.Nitta, and N.Sakai: "BPS Walls and Junctions in SUSY Nonlinear Sigma Models"Phys. Rev.. To appear.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Maru, N.Sakai, Y.Sakamura, and R.Sugisaka: "Simple SUSY Breaking Mechanism by Coexisting Walls"Proceedings of 10th Tohwa international symposium on string theory. To appear.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Araki and Y. Tanii: "Duality symmetries in non-linear gauge theories"Int. J. Mod. Phys.. A14. 1139-1149 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Nishimura and Y. Tanii: "Supersymmetry in the AdS/CFT correspondence"Phys. Lett.. B446. 37-42 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Nishimura and Y. Tanii: "Super Weyl anomalies in the AdS/CFT correspondence"Int. J. Mod. Phys.. A14. 3731-3743 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Nishimura and Y. Tanii: "Local symmetries in the AdS_7/CFT_6 correspondence"Mod. Phys. Lett.. A14. 2709-2719 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.S. Deger, A. Kaya, E. Sezgin, P. Sundell and Y. Tanii: "Chern-Simons supergravity plus matter near the boundary of AdS_3"Nucl. Phys.. B604. 343-366 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Shima, Y. Tanii and M. Tsuda: "On linearization of N=1 nonlinear supersymmetry"Phys. Lett.. B525. 183-188 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Hata and Y. Tanii: "Stability of antisymmetric tensor fields of Chern-Simons type in AdS spacetime"Nucl. Phys.. To appear.

    • 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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