3 years ago

AdS gravity, SO(2,d) gauge theory and Holography.

Zhao-long Wang

Inspired by the general relation between the boundary global symmetry and the bulk gauge symmetry in AdS/CFT, we reformulate the d+1 dimensional AdS gravity theory as a SO(2,d) gauge theory. In this formalism, the pull back of the bulk equation of motion onto a co-dimension one hypersurface \Sigma can be naturally explained as the SO(2,d) conservation law under a local energy scale of the dual CFT. Providing these conservation laws as well as a SO(2,d) covariant area law are valid for any local energy scale, the bulk Einstein equation will be automatically implied.

Publisher URL: http://arxiv.org/abs/1811.05286

DOI: arXiv:1811.05286v1

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