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arXiv · 2005.10244

Quotient-AdS/BCFT: Holographic Boundary CFT$_2$ on AdS$_3$ Quotients

Sanjit Shashi
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Abstract

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is defined on a manifold with boundary, is one such example. Inspired by the quotienting of AdS$_3$ by spacetime isometries in order to construct multiboundary wormholes dual to multipartite CFT$_2$ states, we find that this correspondence can be understood by combining AdS/CFT with some appropriate quotient procedure. Furthermore, in three bulk dimensions, we find example quotient spaces of AdS$_3$ in order to construct "natural" bulk duals for specific BCFT$_2$ vacuum states, one of which appears to describe a novel, time-dependent BCFT$_2$ solution. We call this particular refinement of AdS/BCFT, in which we use quotients, the quotient-AdS/BCFT correspondence.

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Sanjit Shashi. 2020-05-20. Quotient-AdS/BCFT: Holographic Boundary CFT$_2$ on AdS$_3$ Quotients. https://arxiv.org/abs/2005.10244

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