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

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

2000-11-02

arxiv.org/abs/hep-th/0011010v2

Phys.Lett. B499 (2001) 229-232

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, sign errors in Eq.(18) are corrected, accepted for publication in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00037-5

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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