Emergence of integrability in gauge theory and string theory and its prediction in particle physics
Project/Area Number |
23540316
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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Research Institution | Osaka City University |
Principal Investigator |
HIROSHI Itoyama 大阪市立大学, 大学院理学研究科, 教授 (30243158)
|
Co-Investigator(Kenkyū-buntansha) |
OOTA Takeshi 大阪市立大学, 大学院理学研究科, 数学研究所専任研究所員 (70419688)
YOSHIOKA Reiji 大阪市立大学, 大学院理学研究科, 数学研究所専任研究所員 (90514555)
|
Project Period (FY) |
2011-04-28 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
|
Keywords | integrable system / Seiberg-Witten curve / prepotential / Whitham hierarchy / USp matrix model / partial susy breaking / quiver matrix model / Nekrasov function |
Outline of Final Research Achievements |
Continuing the series of original work done by us in 2010, we made several accomplishments in 2d-4d connection and AGT relation. In particular, we obtained the striking results of the emergence of parafermion block from the root of unity limit in q in the q-Virasoro block. Collaborating with Maru, we established the mechanism of D term triggered dynamical supersymmetry breaking based on the Hartree-Fock approximation. We obtained interesting results on supersymmetry breaking in superstring theory and on computation of Colored HOMFLY polynomials.
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Report
(5 results)
Research Products
(43 results)