New relations between conformal field theories and superstring theory on non-trivial backgounds

2016 Fiscal Year Final Research Report

• Project/Area Number: 24740170
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University (2016); Rikkyo University (2013-2015); Keio University (2012)
• Principal Investigator: Hikida Yasuaki 京都大学, 基礎物理学研究所, 特定准教授 (80567462)
• Project Period (FY): 2012-04-01 – 2017-03-31
• Keywords: 超弦理論 / AdS/CFT対応 / 共形場理論 / 高いスピンのゲージ理論

Outline of Final Research Achievements

The purpose of this research is to develop techniques to study superstring theory on non-trivial backgrounds, in particular, on Anti-de Sitter (AdS) space. For this aim we clarified relations between conformal field theories in two dimensions by extending our previous works to a large class of supergroup models. We also utilized higher spin gauge theory and AdS/CFT duality. We generalized the duality with three dimensional AdS space, and succeeded to clarify the relation between higher spin gauge theory and superstring theory. Moreover, we were able to understand the mechanism of symmetry breaking in higher spin gauge theory by applying AdS/CFT duality.

Free Research Field

素粒子論、超弦理論