In Candidacy for the Degree of Doctor of Philosophy

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Afshar, Hamid Reza | 2012

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 43154 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Arfaei, Hessamaddin; Grumiller, Daniel
Abstract:
In this thesis, we show that conformal Chern–Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor. The boundary conditions on the Weyl factor of the metric lead to three physically distinct scenarios: I. trivial Weyl factor, II. non-trivial but fixed Weyl factor and III. free Weyl factor. The metric is not necessarily asymptotically AdS in cases II and III, but nevertheless a dual CFT appears to emerge. We focus on a particular case III where an affine U(1) algebra related to holomorphic Weyl rescalings shifts one of the central charges by 1. The Weyl factor then behaves as a free chiral boson in the dual conformal field theory
Keywords:
Holography ; Conformal Fields Theory ; Conformal Chern-Simons Gravity (CSG)

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