An unexpected symmetry in the integrable structure of gauge and string theories and its root of unity limit
Project/Area Number |
15K05059
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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 |
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)
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Co-Investigator(Kenkyū-buntansha) |
糸山 浩 大阪市立大学, 大学院理学研究科, 教授 (30243158)
吉岡 礼治 大阪市立大学, 大学院理学研究科, 博士研究員 (90514555)
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Project Period (FY) |
2015-04-01 – 2018-03-31
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Project Status |
Completed (Fiscal Year 2017)
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Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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Keywords | 自由場表示 / 変形された量子対称性 / ベキ根極限 / ゲージ理論の可積分構造 / 行列模型 / ループ方程式 / q変形頂点作用素 |
Outline of Final Research Achievements |
The 2d/5d connection is a correspondence between certain two-dimensional field theories and five-dimensional gauge theories with supersymmetry. It implies that the correlation function of the two-dimensional theory and the partition function of the five-dimensional theory are the same. We have determined operators which give a free-field representation of the correlation function and showed that 2d/5d connection holds if the positions of the operators are slightly shifted. The ``elliptic algebra’’ is a quantum symmetry whose structure constants are expressed in terms of the elliptic functions. We argued that this elliptic algebra plays important roles in the 2d/5d connection.
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Report
(4 results)
Research Products
(26 results)
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[Presentation] Elliptic algebra at root of unity limit2017
Author(s)
Oota T.
Organizer
Workshop and School "Topological Field Theories, String theory and Matrix Models", Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
Related Report
Int'l Joint Research / Invited
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