2002 Fiscal Year Final Research Report Summary
Non-perturbative formulation of superstring by the non-commutative geometric approach.
| Project/Area Number |
12640256
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | The University of Tokyo |
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Principal Investigator |
KATO Mitsuhiro The University of Tokyo, Graduate School of Arts and Sciences, Associate Professor (80185876)
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| Co-Investigator(Kenkyū-buntansha) |
YONEYA Tamiaki The University of Tokyo, Graduate School of Arts and Sciences, Professor (10091521)
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| Project Period (FY) |
2000 – 2002
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| Keywords | superstring / non-commutative geometry / space-time uncertainty / duality / M-theory / matrix model / lattice gauge theory / supersymmetry |
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| Research Abstract |
Supersymmetric gauge theory on a lattice (Kato): In order to understand non-perturbative aspects of the supersymmetric gauge theory, we tried to formulate the system on a lattice, which has been a long-standing but difficult problem. We have succeeded to construct a theory that has a certain fermionic symmetry whose supersymmetry part survives in the continuum limit. It gives us a hope that the full supersymmetry can be formulated on a lattice.
Supermembrane and matrix string theory (Yoneya): We have shown the a certain equivalence between the zero-dimensional matrix theory obtained by taking a infinite momentum frame in the compactified M-theory and the matrinx string theory obtained by wrapping the membrane around eleventh direction. This will suggest how the eleven-dimensional Lorentz invariance can be realized in the matrix formulation of M-theory.
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