2013 Fiscal Year Final Research Report
Collaboration of Mathematics and Physics for Superstring Compactifications
| Project/Area Number |
21340109
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
HORI Kentaro 東京大学, カブリ数物連携宇宙研究機構, 特任教授 (30535042)
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| Co-Investigator(Renkei-kenkyūsha) |
EGUCHI Tohru 立教大学, 理学部, 特任教授 (20151970)
OOGURI Hirosi 東京大学, カブリ数物連携宇宙研究機構, 主任研究員 (20185234)
深谷 賢治 京都大学, 理学系研究科, 教授 (30165261)
斎藤 恭司 東京大学, カブリ数物連携宇宙研究機構, 特任教授 (20012445)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 数理物理 / 超弦理論 / 素粒子論 / 幾何学 / 双対性 / ゲージ理論 / Dブレーン |
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| Research Abstract |
We discovered a new class of duality in two dimensional supersymmetric gauge theories. Employing the duality, we constructed a new class of superstring vacua, and provided mathematical conjectures on D-brane categories. Also, we succeeded in exactly computing the partition functions of such gauge theories, and obtained a general formula for the D-brane central charge and the elliptic genera. In addition, we obtained a general rule to determine the degrees of freedom on D-branes and gave a proof of the rule of T-duality action on D-branes. By these results, a new method to study the vacuum structure and the low energy effective theory of superstring compactifications is established.
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