Researches into lower dimensional gauge theories by using the localization method
| Project/Area Number |
26400256
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Meiji Gakuin University |
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Principal Investigator |
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| Research Collaborator |
SAKAI Norisuke
SASAI Yuya
MATSUURA So
MISUMI Tatsuhiro
KAMATA Syo
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 超対称ゲージ理論 / 超弦理論 / 局所化 / クイバー量子力学 / 格子ゲージ理論 / 超対称指数 / 超重力理論 / 行列模型 / ヴォーテックス / BPS方程式 / グラフ理論 / 超対称量子力学 / クイバーゲージ理論 |
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| Outline of Final Research Achievements |
In quantization of supersymmetric theory, where there exists an exchange symmetry between boson and fermions, we can evaluate exactly the path integral by a cancellation of the contribution from boson and fermions. This phenomenon or method is called the “localization”, which is effective and important method in evaluating observables of the supersymmetric gauge theories.
We applied this localization method for (0+1)-dimensional quiver quantum mechanics and 2-dimensional discretized Yang-Mills theory and obtained deeper understandings about theoretical structure of lower dimensional supersymmetric gauge theories.
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Report
(5 results)
Research Products
(8 results)
