Free boundary conditions and the AdS${}_3$/CFT${}_2$ correspondence

Abstract

We show that the recently proposed free boundary conditions for AdS${}_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro transformations leads to a vanishing total central charge in agreement with the theory at the boundary. We argue that this identification is necessary to match the bulk and boundary generators of Virasoro transformations and for consistency with the constraint equations.

27 pages; v2: corrected sign of Kac-Moody level, added comments on unitarity of the dual theory, added references, published version

References in corpus (2)

• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability

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