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The $T \overline{T}$ operator provides a universal irrelevant deformation of two-dimensional quantum field theories with remarkable properties, including connections to both string theory and holography beyond $\mathrm{AdS}$ spacetimes. In…

High Energy Physics - Theory · Physics 2022-05-18 Christian Ferko

This is a combined review on the Kerr/CFT correspondence on the one hand and solvable irrelevant deformations of two-dimensional QFTs - specifically, the $T\bar T$ and $J\bar T$ deformations - on the other. These subjects are…

High Energy Physics - Theory · Physics 2025-12-30 Monica Guica

This review explores recent advances in the theory of $T\bar{T}$ deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the energy-momentum tensor. It addresses classical and quantum…

High Energy Physics - Theory · Physics 2025-05-13 Song He , Yi Li , Hao Ouyang , Yuan Sun

We show that the $T \overline{T}$ deformation of two-dimensional quantum field theory on $\mathrm{AdS}_2$ is well-defined and solvable at the quantum level. Flow equations for the energy spectrum and partition function are derived in…

High Energy Physics - Theory · Physics 2020-05-13 T. Daniel Brennan , Christian Ferko , Emil Martinec , Savdeep Sethi

We revisit the results of Zamolodchikov and others on the deformation of two-dimensional quantum field theory by the determinant $\det T$ of the stress tensor, commonly referred to as $T\overline T$. Infinitesimally this is equivalent to a…

High Energy Physics - Theory · Physics 2018-11-02 John Cardy

In this paper, we continue the study of $T\bar{T}$ deformation in $d=1$ quantum mechanical systems and propose possible analogues of $J\bar{T}$ deformation and deformation by a general linear combination of $T\bar{T}$ and $J\bar{T}$ in…

High Energy Physics - Theory · Physics 2020-12-30 Soumangsu Chakraborty , Amiya Mishra

Smirnov and Zamolodchikov recently introduced a new class of two-dimensional quantum field theories, defined through a differential change of any existing theory by the determinant of the energy-momentum tensor. From this $T\bar T$ flow…

High Energy Physics - Theory · Physics 2020-09-23 Vladimir Rosenhaus , Michael Smolkin

Starting from the recently-discovered $\textrm{T}\bar{\textrm{T}}$-perturbed Lagrangians, we prove that the deformed solutions to the classical EoMs for bosonic field theories are equivalent to the unperturbed ones but for a specific…

High Energy Physics - Theory · Physics 2019-03-27 Riccardo Conti , Stefano Negro , Roberto Tateo

We initiate the study of $T\bar T$-like irrelevant solvable deformations in quantum field theory with boundaries and defects. For this purpose, we employ a general formalism developed in the context of spin chains, which allows us to derive…

High Energy Physics - Theory · Physics 2022-05-11 Yunfeng Jiang , Florian Loebbert , De-liang Zhong

We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the $\mathrm{T}\overline{\mathrm{T}}$ deformation and the recently introduced hard rod deformation. We…

High Energy Physics - Theory · Physics 2021-05-12 Dennis Hansen , Yunfeng Jiang , Jiuci Xu

We analyse the $T\bar{T}$ deformation of 2d CFTs in a special double-scaling limit, of large central charge and small deformation parameter. In particular, we derive closed formulae for the deformation of the product of left and right…

High Energy Physics - Theory · Physics 2021-08-18 Shouvik Datta , Yunfeng Jiang

We propose a manifestly supersymmetric generalization of the solvable $T \overline{T}$ deformation of two-dimensional field theories. For theories with $(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term to the…

High Energy Physics - Theory · Physics 2019-05-22 Chih-Kai Chang , Christian Ferko , Savdeep Sethi

We study the $T\overline{T}$ deformation of two dimensional quantum field theories from a Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our starting point is a simple rewriting of the spatial integral…

High Energy Physics - Theory · Physics 2020-11-25 Jorrit Kruthoff , Onkar Parrikar

We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for a class of $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or $\mathcal{N} = 2$ supersymmetry, including one presentation of the…

High Energy Physics - Theory · Physics 2022-08-16 Stephen Ebert , Christian Ferko , Hao-Yu Sun , Zhengdi Sun

The irrelevant composite operator $T\bar{T}$, constructed from components of the stress-energy tensor, exhibits unique properties in two-dimensional quantum field theories and represents a distinctive form of integrable deformation.…

High Energy Physics - Theory · Physics 2025-01-22 Nicolò Brizio , Tommaso Morone , Roberto Tateo

We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $T\bar T$-deformation of 1+1 dimensional integrable…

High Energy Physics - Theory · Physics 2020-04-22 Balázs Pozsgay , Yunfeng Jiang , Gábor Takács

It has been recently shown that the deformation of an arbitrary two-dimensional conformal field theory by the composite irrelevant operator $T \bar T$, built from the components of the stress tensor, is solvable; in particular, the…

High Energy Physics - Theory · Physics 2019-01-30 Monica Guica

In recent years a considerable amount of attention has been devoted to the investigation of 2D quantum field theories perturbed by certain types of irrelevant operators. These are the composite field $\mathrm{T}\bar{\mathrm{T}}$ -…

High Energy Physics - Theory · Physics 2024-03-18 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

Motivated by the two-dimensional massive gravity description of $T\overline{T}$ deformations, we propose a direct generalization in $d$ dimensions. Our methodology indicates that all terms up to order $d$ are present in the deformation. In…

High Energy Physics - Theory · Physics 2024-09-26 Evangelos Tsolakidis

We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $\beta$ functions for the couplings in the system and explore the fixed points. In addition to…

High Energy Physics - Theory · Physics 2024-03-15 Jie Liu , Junichi Haruna , Masatoshi Yamada
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