2013 Fiscal Year Final Research Report
Integrability structure in gluon scattering amplitudes
| Project/Area Number |
23540290
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
ITO Katsushi 東京工業大学, 理工学研究科, 教授 (60221769)
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| Co-Investigator(Kenkyū-buntansha) |
SATOH Yuji 筑波大, 数理物質科学研究科(系), 助教 (50312799)
SAKAI Kazuhiro 立命館大学, 理工学部, 助教 (10439242)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 超対称性 / ゲージ重力対応 / グルーオン散乱 / 極小曲面 |
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| Research Abstract |
Based on the gauge-gravity correspondence, we studied the relation between gluon scattering amplitudes in N=4 supersymmetric gauge theory and minimal surfaces in
anti-de Sitter spacetime. Using the integrable model and especially the integrable perturbation of two-dimensional conformal field theory, we investigated the analytic structure of the remainder function at strong coupling, which shows the deviation from the Bern-Dixon-Smirnov's formula predicted from the perturbative calculations. We also studied the integrable structure of the related supersymmetric gauge theories, and tried to find the basic principles on which such integrable structure rely. In particular we were able to determine exactly the leading correction terms in the remainder functions of the gluon scattering amplitudes corresponding to AdS3 and AdS4 spacetimes.
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Research Products
(35 results)
