AdS3/CFT2 In The Presence of N=1 Supergravity

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Fattahi, Mohammad | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 41766 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Rouhani, Shahin
Abstract:
Brown and Henneaux showed that asymptotic symmetries of asymptotically form a conformal group in two dimensions [1]. Also they could derive classical central charge of theory. Fourteen years later, Maldacena, conjectured that this Holographic correspondence could be true for a specific theory a simplified chromodynamics in the boundary of ), this holographic theory attracted physicist communitee's attention. Many physicists tried to make this conjecture more precise. It is worth to say that, no example of holographic correspondence has been completely proven, till now, Because of the difficulty of the calculation. However these days we consider Madacena conjectrure in any arbitrary dimension, which is a correspondence between quantum gravity in d dimension and conformal field theory in d-1 dimensional boundary. In this thesis, we have reconsidered Brown and Henneaux method and redone its calculation. Using which we have tried to answer this question, whether in the presence of N=1 supergravity lead to N=1 superconformal field theory on the boundary?
Keywords:
AdS/CFT Correspondence ; Anti deSitter (AdS)Space ; Brown and Henneaux Method ; Classical Central Charge in Anti De Sitter Space

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