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

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.

arXiv comment17 pages, 5 figures; v3: added extrinsic curvature and other miscellaneous calculations and statements

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