Nonperturbative dynamics of string theory via matrix models and gauge theories
Project/Area Number |
19540294
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
Research Institution | Shizuoka University (2008-2010) Osaka University (2007) |
Principal Investigator |
|
Project Period (FY) |
2007 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 行列模型 / ラージN還元 / N=4超対称ヤン・ミルズ理論 / チャーン・サイモン理論 / AdS/CFT対応 / ゲージ重力対応 / IIB行列模型 / カイラルプライマリー演算子 / AdS / CFT対応 / 群多様体 / coset空間 / plane wave行列模型 / 2次元ヤン・ミルズ理論 / N=1^*行列模型 / ファイバー束 / T双対 / BMN行列模型 / チャーン・サイモンズ理論 / BF理論 |
Research Abstract |
The large-N reduction asserts that the planar limit of gauge theory is described by the matrix model obtained by its dimensional reduction. I extended it to the case of gauge theory on curved space. By using this result, I constructed a nonperturbative formulation of N=4 super Yang-Mills theory, and tested the AdS/CFT correspondence. This extension of the large-N reduction is also expected to play a crucial role in future work on the IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. Furthermore, I found that expanding(3+1)-dimensional universe appears dynamically in the IIB matrix model. This result is expected to give answers to the questions why we live in(3+1)-dimensional space-time and how our universe begins.
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Report
(6 results)
Research Products
(80 results)