Holographic Renormalization and Higher Derivative Gravities

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Naseh, Ali | 2013

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 49810 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Arfaei, Hesamodin; Alishahiha, Mohsan; Skenderis
Abstract:
In this thesis, with using the holographic renormalization we study couple of recently discovered gravitational theories, New Massive Gravity and Critical Gravity. We show that the dual field theory to each of them, is logarithmic conformal field theory. Also we study the Topologically Massive Gravity at critical point with hamiltonian holographic renormalization which is completely different from another approachs that are used to analys this theory. We show that albeit the dual field theory to this gravitational theory is logarithmic conformal field theory, but we can define completely consistent Wald’s charges, holographic charges and Noether’s charges for it
Keywords:
Holographic Renormalization ; Hamiltonian Holographic Renormalization ; New Massive Gravity ; Logarithmic Conformal Field theory ; Critical Gravity ; Topologically Massive Gravity