Higher dimensional formulation of counterterms

Details Higher dimensional formulation of counterterms Higher dimensional formulation of counterterms

2001-10-16

arxiv.org/abs/hep-th/0110142v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX

Scientific paper

It is by now well established that divergences of the on-shell action for asymptotically AdS solutions can be cancelled by adding covariant local boundary counterterms to the action. Here we show that although one can still renormalise the action for asymptotically $AdS_p \times S^q$ solutions using local boundary counterterms the counterterm action is not covariant since the conformal boundary is degenerate. Any given counterterm action is defined with respect to specific coordinate frame and gauge choices.

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