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We propose a holographic dual of boundary conformal field theory (BCFT) with $T\bar T$ deformation, i.e. of $T\bar T$ BCFT. Our holographic proposal distinguishes two types of $T\bar T$ BCFTs, depending on whether the $T\bar T$ deformation…

High Energy Physics - Theory · Physics 2025-01-07 Zhi Wang , Feiyu Deng

We develop the holographic dictionary for pure $\mathrm{AdS}_3$ gravity where the Lagrangian of the dual $2d$ conformal field theory has been deformed by an arbitrary function of the energy-momentum tensor. In addition to the $T…

High Energy Physics - Theory · Physics 2023-06-27 Stephen Ebert , Christian Ferko , Zhengdi Sun

We investigate the reflected entropy for bipartite mixed state configurations in a $T\bar{T}$ deformed boundary conformal field theory in $2$ dimensions (BCFT$_2$). The bulk dual is described by asymptotically AdS$_3$ geometries with the…

High Energy Physics - Theory · Physics 2025-07-01 Debarshi Basu , Himanshu Chourasiya , Ankur Dey , Vinayak Raj

We develop the holographic framework for the $\textrm{T}\overline{\textrm{T}}$ deformation of two-dimensional conformal field theories (CFT$_2$) with gravitational anomalies, characterized by unequal left and right central charges and…

High Energy Physics - Theory · Physics 2025-08-07 Debarshi Basu , Qiang Wen , Mingshuai Xu

In this article we study large central charge partition function and entanglement entropy of $T\bar{T}$ deformed two dimensional conformal field theory, following the approach to $T\bar{T}$ deformation as integrated infinitesimal double…

High Energy Physics - Theory · Physics 2021-02-16 Yi Li

In this work, we study the holographic entanglement entropy in AdS$_3$ gravity with the certain mixed boundary condition, which turns out to correspond to $T\bar{T}$-deformed 2D CFTs. By employing the Chern-Simons formalism and Wilson line…

High Energy Physics - Theory · Physics 2023-05-09 Miao He , Yuan Sun

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on…

High Energy Physics - Theory · Physics 2018-07-06 Per Kraus , Junyu Liu , Donald Marolf

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter. The resulting dual gravitational theory has mixed boundary…

High Energy Physics - Theory · Physics 2021-02-03 Monica Guica , Ruben Monten

We study the effect of boundary deformations on the von Neumann entropy of subregions in two-dimensional boundary conformal field theories (BCFTs) at zero and finite temperature. The deformations considered are infinitesimal global…

High Energy Physics - Theory · Physics 2026-04-21 Dominik Neuenfeld , Christopher Tellinger

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

High Energy Physics - Theory · Physics 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator $T \bar T$, the product of the left- and right-moving stress tensor. We propose that…

High Energy Physics - Theory · Physics 2018-03-29 Lauren McGough , Márk Mezei , Herman Verlinde

We continue the study of a recently proposed solvable irrelevant deformation of an AdS$_3$/CFT$_2$ correspondence that leads in the UV to a theory with Hagedorn spectrum. This can be thought of as a single trace analog of the…

High Energy Physics - Theory · Physics 2018-09-26 Juan Pablo Babaro , Valentino F. Foit , Gaston Giribet , Matias Leoni

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

High Energy Physics - Theory · Physics 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

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…

High Energy Physics - Theory · Physics 2023-06-26 Luis Apolo , Peng-Xiang Hao , Wen-Xin Lai , Wei Song

We study a constructive gravitational dual of two-dimensional $T\bar{T}$-deformed conformal field theories (CFTs) grounded in their two-dimensional gravity description. This framework can be viewed as a Randall-Sundrum-type braneworld,…

High Energy Physics - Theory · Physics 2025-08-22 Shinji Hirano , Vinayak Raj

We expand the results of arXiv:1105.5165, where a holographic description of a conformal field theory defined on a manifold with boundaries (so called BCFT) was proposed, based on AdS/CFT. We construct gravity duals of conformal field…

High Energy Physics - Theory · Physics 2011-11-18 Mitsutoshi Fujita , Tadashi Takayanagi , Erik Tonni

We propose a generalisation of the $T \bar{T}$ deformation to curved spaces by defining, and solving, a suitable flow equation for the partition function. We provide evidence it is well-defined at the quantum level. This proposal…

High Energy Physics - Theory · Physics 2019-12-20 Edward A. Mazenc , Vasudev Shyam , Ronak M Soni

The stress tensor is a basic local operator in any field theory; in the context of AdS/CFT, it is the operator which is dual to the bulk geometry itself. Here we exploit this feature by using the bulk geometry to place constraints on the…

High Energy Physics - Theory · Physics 2016-12-14 Sebastian Fischetti , Andrew Hickling , Toby Wiseman

In this paper we review the AdS/BCFT proposal of T. Takayanagi for holographic description of systems with boundaries, in particular, boundary conformal field theories (BCFTs). Motivated by better understanding of the proposed duality we…

High Energy Physics - Theory · Physics 2019-12-11 Arthur G. Cavalcanti , Dmitry Melnikov , Madson R. O. Silva

There is ample evidence that the bulk dual of a $T\overline{T}$ deformed holographic CFT is a gravitational system with a finite area cutoff boundary. For states dual to black holes, the finite cutoff surface cannot be moved beyond the…

High Energy Physics - Theory · Physics 2025-07-03 Shadi Ali Ahmad , Ahmed Almheiri , Simon Lin
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