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Central Charges for BCFTs and Holography

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arxiv 1205.1573 v1 pith:HHOEYZVX submitted 2012-05-08 hep-th cond-mat.str-elgr-qc

Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin This is my paper · ORCID
classification hep-thcond-mat.str-elgr-qc
keywords bcftsboundariesboundarygivebcftcentralchargesdimensions
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fluid Boundary Conditions from AdS/BCFT

    hep-th 2025-07 conditional novelty 6.0 of 10

    In AdS/BCFT, the metric boundary condition on the end-of-the-world brane determines the fluid boundary condition: Neumann gives no-penetration plus Neumann conditions on velocity and temperature, and Dirichlet gives no-slip.

  2. Building an AdS/BCFT Josephson junction within Horndeski gravity

    hep-th 2025-10 reject novelty 4.0 of 10

    AdS/BCFT with Horndeski gravity is claimed to yield Josephson junctions whose phase and current depend on the Horndeski couplings, but the condensate and critical temperature are put in by hand.

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