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Entanglement Entropy for $TT$ deformed CFT in general dimensions

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arxiv 1904.00716 v2 pith:7JCJ3HQJ submitted 2019-04-01 hep-th

classification hep-th
keywords entanglemententropycomputedeformationdimensionsfieldfindtheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an $AdS_{d+1}$ bulk with a hard radial cut-off. We compute the exact partition function and find the entanglement entropy from the field theory side in various dimensions and compare with the corresponding holographic results. We also compute renormalized entanglement entropy both in field theory and holography and find complete agreement between them.

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  1. Holographic entanglement entropy with conformal boundary conditions

    hep-th 2026-08 conditional novelty 6.0 of 10

    In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.

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