Notes on Multi-Trace Operators and Holographic Renormalization Group

2002/02/08 by É. T. Akhmedov, E. T. Akhmedov, Akhmedov, E. T. · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0202055

Latex, 8p

arxiv created 2003/01/14 · arxiv updated 2009/11/30

Abstract

It is shown that the Holographic Renormalization Group can be formulated universally within Quantum Field Theory as (the quantization of) the Hamiltonian flow on the cotangent bundle to the space of gauge-invariant single-trace operators supplied with the canonical symplectic structure. The classical Hamiltonian dynamics is recovered in the large N limit.

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• Zoo of flows in a 3d gauged supergravity with periodic potential
• On the relations between correlation functions in SYM/pp-wave correspondence
• Exact statement for Wilsonian and holographic renormalization group
• Connecting the holographic and Wilsonian renormalization groups

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