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The Brown-Henneaux's central charge from the path-integral boundary condition

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arxiv hep-th/0011010 v2 pith:DXIJV5E3 submitted 2000-11-02 hep-th gr-qc

Hiroaki Terashima (Univ. of Tokyo) This is my paper · ORCID
classification hep-thgr-qc
keywords centralchargeboundarybrown-henneauxconditionderiveintegralpath
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We derive Brown-Henneaux's commutation relation and central charge in the framework of the path integral. If we use the leading part of the asymptotic symmetry to derive the Ward-Takahashi identity, we can see the central charge arises from the fact that the boundary condition of the path integral is not invariant under the transformation.

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  1. Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT

    hep-th 2026-08 reject novelty 3.0 of 10

    Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.

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