Counter-term charges generate bulk symmetries

Details Counter-term charges generate bulk symmetries Counter-term charges generate bulk symmetries

2005-03-11

arxiv.org/abs/hep-th/0503105v3

Phys.Rev.D72:104025,2005

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, no figures, v3: errors fixed, boundary terms carefully controlled, awkward assumption removed, references upd

Scientific paper

10.1103/PhysRevD.72.104025

We further explore the counter-term subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and their kin. In particular, we show in general that charges defined via the counter-term subtraction method generate the desired asymptotic symmetries. As a result, they can differ from any other such charges, such as those defined by bulk spacetime-covariant techniques, only by a function of auxiliary non-dynamical structures such as a choice of conformal frame at infinity (i.e., a function of the boundary fields alone). Our argument is based on the Peierls bracket, and in the AdS context allows us to demonstrate the above result even for asymptotic symmetries which generate only conformal symmetries of the boundary (in the chosen conformal frame). We also generalize the counter-term subtraction construction of charges to the case in which additional non-vanishing boundary fields are present.

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