Seeing a c-theorem with holography

Using the anti-de Sitter conformal theory correspondence, we examine holographic renormalization group flows in a framework where the bulk gravity contains higher curvature interactions. This holographic model allows us to distinguish the flow of the different central charges in dual theory. For example, in four dimensions, one finds that the flow of the central charge a is naturally monotonic but that of c is not. Our results agree with Cardy's proposal to extend Zamolodchikov's c-theorem to higher dimensions. We are also led to formulate a novel c-theorem for a universal coefficient appearing in the entanglement entropy of the fixed point conformal theories in any (including an odd) number of dimensions.

• Publication year

  2010

• Venue

  Physical Review D

• Publication date

  2010-06-07

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevD.82.046006arXiv 1006.1263
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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