Central charges for BCFTs and holography

A bstract In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supportin...

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Bibliographic Details
Published in:The journal of high energy physics 2012-06, Vol.2012 (6), Article 66
Main Authors: Nozaki, Masahiro, Takayanagi, Tadashi, Ugajin, Tomonori
Format: Article
Language:English
Subjects:
Boundaries
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
Holography
Mathematical analysis
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Tensors
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Summary:A bstract In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supporting evidences from field theory calculations. In two dimensions, we give a holographic construction (AdS/BCFT) for an arbitrary shape of boundary and calculate its logarithmic term as well as boundary energy momentum tensors, confirming its consistency with the Weyl anomaly. Moreover, we give perturbative solutions of gravity duals for the three dimensional BCFTs with any shapes of boundaries. We find that the standard Fefferman-Graham expansion breaks down for generic choices of BCFT boundaries.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2012)066