Emergence of integrability in gauge theory and string theory and its prediction in particle physics

2014 Fiscal Year Final Research Report

• Project/Area Number: 23540316
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• 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
• 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.

Free Research Field

場の量子論及び弦理論