2013 Fiscal Year Final Research Report
Integrability in gauge-gravity correspondence and gluon scattering amplitudes
| Project/Area Number |
22740172
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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 | Ritsumeikan University (2013)
Kyoto University (2011-2012)
Keio University (2010) |
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Principal Investigator |
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 素粒子（理論） / 弦理論 / 可積分系 / 数理物理学 / ゲージ重力対応 |
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| Research Abstract |
Integrability has become of increasing importance in obtaining analytic, exact results in gauge and string theories. In this research project we clarified several integrable structures in gauge and string theories and made full use of them to obtain analytic results. More specifically, we studied gluon scattering amplitudes at strong coupling in the maximally supersymmetric gauge theory in four dimensions. The gauge-gravity correspondence relates the amplitudes to the areas of certain minimal surfaces. Based on this correspondence we formulated a method of computing a general class of gluon scattering amplitudes by means of two-dimensional conformal field theories. We also studied the E-string theory, which is one of the simplest consistent supersymmetric field theories in six dimensions. We constructed a closed expression for the BPS partition function of the E-string theory toroidally compactified down to four dimensions and elucidated its properties.
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[Presentation] Counting BPS states in E-string theory2012
Author(s)
Kazuhiro Sakai
Organizer
Conference "Synthesis of integrabilities in the context of gauge/string duality"
Place of Presentation
Steklov Mathematical Institute/State University - Higher School of Economics, Moscow (Russia)
Year and Date
2012-09-21
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