Holographic currents in first order Gravity and finite Fefferman-Graham expansions

Details Holographic currents in first order Gravity and finite Fefferman-Graham expansions Holographic currents in first order Gravity and finite Fefferman-Graham expansions

2006-04-20

arxiv.org/abs/hep-th/0604148v2

JHEP0606:025,2006

Physics

High Energy Physics

High Energy Physics - Theory

21 pages; version published in JHEP

Scientific paper

10.1088/1126-6708/2006/06/025

We study the holographic currents associated to Chern-Simons theories. We start with an example in three dimensions and find the holographic representations of vector and chiral currents reproducing the correct expression for the chiral anomaly. In five dimensions, Chern-Simons theory for AdS group describes first order gravity and we show that there exists a gauge fixing leading to a finite Fefferman-Graham expansion. We derive the corresponding holographic currents, namely, the stress tensor and spin current which couple to the metric and torsional degrees of freedom at the boundary, respectively. We obtain the correct Ward identities for these currents by looking at the bulk constraint equations.

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