Glue-on AdS holography for $T\bar{T}$-deformed CFTs

Abstract

The $T\bar{T}$ deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter $\mu$. In particular, $T\bar{T}$-deformed CFTs with $\mu <0$ have been proposed to be holographically dual to Einstein gravity where the metric satisfies Dirichlet boundary conditions at a finite cutoff surface. In this paper, we put forward a holographic proposal for $T\bar{T}$-deformed CFTs with $\mu >0$, in which case the bulk geometry is constructed by gluing a patch of AdS${}_3$ to the original spacetime. As evidence, we show that the $T\bar{T}$ trace flow equation, the spectrum on the cylinder, and the partition function on the torus and the sphere, among other results, can all be reproduced from bulk calculations in glue-on AdS${}_3$.

arXiv comment33 pages, 1 figure; v2: clarifications and references added, matches published version

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Cited by in corpus (9)

• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• End of the World Brane meets $T\bar{T}$
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Moving holographic boundaries
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$