Emergence of Integrability in Gauge Theory and String Theory and Nonperturbative Effects
| Project/Area Number |
20540278
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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 |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Osaka City University |
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Principal Investigator |
ITOYAMA Hiroshi Osaka City University, 大学院・理学研究科, 教授 (30243158)
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| Co-Investigator(Kenkyū-buntansha) |
OOTA Takeshi 大阪市立大学, 大学院・理学研究科, 博士研究員 (70419688)
YOSHIOKA Reiji 大阪市立大学, 大学院・理学研究科, 博士研究員 (90514555)
河本 祥一 大阪市立大学, 大学院・理学研究科, 博士研究員 (10464603)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | integral system / Seiberg-Witten curve / prepotential / Whitham hierarchy / USp matrix model / partial susy breaking / quiver matrix model / Nekrasov function / integrable system / Partial susy breaking / AdS_5x S^5 superstring / lightcone gauge |
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| Research Abstract |
1) Elucidated the deviation from BDS conjecture first in the world analytically. 2) Established the low energy theorem for the NG fermion in the model of Fujiwara-Itoyama-Sakaguchi. 3) In the USp matrix model of Itoyama - Tokura, we showed that the self-interaction between a spacetime point and its image is attractive in the long distances and repulsive in the short distances. Suggests the formation of 4 dimensional spacetime in this model. 4) 2d-4d connection, equivalence established between the spectral curve of the quiver matrix model and that of SW curve of Gaiotto-Witten type. 0d-4d dictionary was established.
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Report
(4 results)
Research Products
(55 results)
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[Book] Int. J. Mod. Phys. A23(2008)(Progress of string theory and quantum field theory. Proceedings, International Conference, Osaka, Japan, December 7-10, 2007)2008
Author(s)
Kazuhito Fujiwara, (ed.), (Osaka City U.), Hiroshi Itoyama, Shoichi Kawamoto, (ed.), (Osaka City U.), Hironobu Kihara, (ed.), (Korea Inst., (ed.), (Osaka City U.)Advanced Study, Seoul), Takeshi Oota(ed.), (Okayama Inst. Quantum Phys.), Tadashi Takayanagi, (ed.), (Kyoto U.),, (ed.), (Osaka City U.), Makoto Sakaguchi, Yukinor Yasui, (ed.)
Publisher
Osaka City U.
Related Report
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