2001 Fiscal Year Final Research Report Summary
Universality of Superstring Matrix Model
| Project/Area Number |
10640254
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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 | High Energy Accelerator research Organization (KEK) (1999-2001)
Tokyo Institute of Technology (1998) |
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Principal Investigator |
KITAZAWA Yoshihisa KEK, Matrix Models, 素粒子原子核研究所, 教授 (10195258)
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| Project Period (FY) |
1998 – 2001
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| Keywords | Super sting / Nonperturbative fornmlation / matrix model / noncommutative Geometry / Gauge Theory / Wilson Lines |
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| Research Abstract |
I have proposed IIB matrix model as a nonperturbative formulation of superstring theory with Ishibashi, Kawai and Tsuchiya. This model may be related to light-cone string field theory through loop equations. This model contains ten Hermitian matrices which may be interpreted as pace-time coordinates. In order to derive realistic four dimensional space-time, the scale of eigen value distributions of four matrices must become infinite in comparison to the remaining six matrices. It has been pointed out that IIB matrix model contains a natural mechanism for it. Furthermore it must contain gauge theories for a unified theory of interactions. By expanding it around a noncommutative space-time, we can derive noncommutative gauge theory. We have further constructed gauge invariant observables (Wilson lines). Since Wilson lines couple gauge fields to closed string modes, they play an important role in relating matrix models to gravitation. We have studied stringy behavior of their correlation functions.
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