Gauge Symmetries and Holographic Anomalies of Chern-Simons and Transgression AdS Gravity

Abstract

We review the issue of gauge and gravitational anomalies with backgrounds, maybe offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT correspondence, to Chern-Simons AdS gravities. Those anomalies are either gauge anomalies associated to the AdS gauge group of the theory or diffeomorphism anomalies, with each kind related to the other. As a result of using suitable action principles por Chern-Simons AdS gravities, coming from Transgression forms, we obtain finite results without the need for further regularization. Our results are of potential interest for Lovelock gravity theories, as it has been shown that the boundary terms dictated by the transgressions for Chern-Simons gravities are also suitable to regularize Lovelock theories. The Wess-Zumino consistency condition ensures that anomalies of the generic form computed here should appear for these and other theories.

This work and arXiv:1407.6032 started as a rewritting of arXiv:1010.5110 (which was not published in a journal), therefore there may may be some ovelap in the review sections

References in corpus (7)

• Entanglement Entropy, Trace Anomalies and Holography
• Universal regularization prescription for Lovelock AdS gravity
• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
• General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
• The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• Action Principles for Transgression and Chern-Simons AdS Gravities

Cited by in corpus (1)

• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity