2011 Fiscal Year Final Research Report
Study of gauge/string duality based on integrability
| Project/Area Number |
21740158
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
SATOH Yuji 筑波大学, 数理物質系, 助教 (50312799)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 素粒子論 / 弦理論 / ゲージ理論 / 数理物理 / 可解模型 |
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| Research Abstract |
The gauge/string duality states that certain gauge theories and theories of string/gravity are just different descriptions of the same theories. We studied this duality based on the integrability behind it. Especially, we found that gluon scattering amplitudes of a supersymmetric gauge theory at strong coupling are obtained through thermodynamic Bethe ansatz equations of a class of two-dimensional integrable models called Homogenous sine-Gordon models, which give finite size effects of two-dimensional integrable models. Based on this fact, we also showed that the amplitudes are analytically evaluated around certain momentum configurations by the two-dimensional conformal perturbation theory.
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