Higher dimensional formulation of counterterms

2001/10/16 by Marika Taylor-Robinson, Taylor-Robinson, Marika · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0110142

28 pages, LaTeX

arxiv created 2001/10/16 · openalex publication_date 2001/10/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 × 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.

Cited by

• Higher dimensional holography
• Lecture Notes on Holographic Renormalization
• Generating charge from diffeomorphisms

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