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

TL;DR

This paper introduces the quotient-AdS/BCFT correspondence, a new approach combining quotient procedures with AdS/BCFT to construct duals for boundary conformal field theories, including novel time-dependent solutions.

Contribution

It proposes a novel quotient-based refinement of AdS/BCFT, enabling the construction of specific bulk duals for BCFT$_2$ states, including time-dependent solutions.

Findings

Constructed quotient spaces of AdS$_3$ for BCFT$_2$ duals

Identified a time-dependent BCFT$_2$ vacuum solution

Extended AdS/BCFT with quotient procedures for new dual geometries

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.