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Related papers: $T \bar{T}$-deformed 2D Quantum Field Theories

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The holographic duality conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and…

High Energy Physics - Theory · Physics 2024-04-17 Stephen Ebert

We recast the joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of…

In presence of a static pair of sources, the spectrum of low-lying states of whatever confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter…

High Energy Physics - Theory · Physics 2013-06-20 Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Roberto Tateo

We discuss the marginal $\sqrt{T\overline{T}}$ deformation of massless scalar field theories in two dimensions from a dynamical perspective. The operator flow equations for such deformations induce a particular Legendre Transformation…

High Energy Physics - Theory · Physics 2026-04-28 Aritra Banerjee , Pulastya Parekh , Robin Raj

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

$T\bar{T}$ deformed conformal field theories can be reformulated as worldsheet theories of non-critical strings. We use this correspondence to compute and study the $T\bar{T}$ deformed partition sum of a symmetric product CFT. We find that…

High Energy Physics - Theory · Physics 2023-05-23 Nathan Benjamin , Scott Collier , Jorrit Kruthoff , Herman Verlinde , Mengyang Zhang

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

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 present a new exact treatment of $T\bar{T}$ deformed 2D CFT in terms of the worldsheet theory of a non-critical string. The transverse dimensions of the non-critical string are represented by the undeformed CFT, while the two…

High Energy Physics - Theory · Physics 2020-05-20 Nele Callebaut , Jorrit Kruthoff , Herman Verlinde

We study the evolution of correlation functions of local fields in a two-dimensional quantum field theory under the $\lambda T\bar T$ deformation, suitably regularized. We show that this may be viewed in terms of the evolution of each…

High Energy Physics - Theory · Physics 2020-01-23 John Cardy

We consider a general (beyond $T\bar T$) deformation of the 2D $O(N+1)$ $\sigma$-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the $S$-matrix loses its factorization…

High Energy Physics - Theory · Physics 2021-10-20 Jonas Linzen , Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky , Nika S. Sokolova

We show the $T\bar{T}$ deformation of two-dimensional quantum field theories is equivalent to replacing the spacetime dependence of the fields with dependence on the indices of infinitely large matrices. We show how this correspondence…

High Energy Physics - Theory · Physics 2023-05-17 Vasudev Shyam , Yigit Yargic

Quantization of coordinates leads to the non-commutative product of deformation quantization, but is also at the roots of string theory, for which space-time coordinates become the dynamical fields of a two-dimensional conformal quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Guttenberg , Manfred Herbst , Maximilian Kreuzer , Radoslav Rashkov

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

We investigate the gravitational form factors (GFFs) of the nucleon and the baryon octet, decomposed into their flavor components, utilizing a pion mean-field approach grounded in the large $N_c$ limit of Quantum Chromodynamics (QCD). Our…

High Energy Physics - Phenomenology · Physics 2024-04-16 Ho-Yeon Won , Hyun-Chul Kim , June-Young Kim

We develop a two-dimensional gravity path integral formulation of the $T \bar T + \Lambda_2$ deformation of quantum field theory. This provides an exactly solvable generalization of the pure $T \bar T$ deformation that is relevant for de…

High Energy Physics - Theory · Physics 2023-02-15 Gonzalo Torroba

We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal $\mathbb{Z}_n$ structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual…

High Energy Physics - Theory · Physics 2025-11-25 Nicolò Brizio , Tommaso Morone , Nicolò Primi , Roberto Tateo

2d QCD, Yang-Mills theory with gauge group G and massless quarks in representations (R_\ell, R_r) of G, flows in the infrared to a CFT or a TQFT depending on whether spectrum is gapless or gapped. We identify the infrared effective theory…

High Energy Physics - Theory · Physics 2022-11-17 Diego Delmastro , Jaume Gomis

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $T\bar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled…

High Energy Physics - Theory · Physics 2019-07-04 Takaaki Ishii , Suguru Okumura , Jun-ichi Sakamoto , Kentaroh Yoshida

Turning on the $T\bar{T}$-deformation in a two-dimensional CFT provides a unique window to study explicitly how non-local features arise in the UV as a result of the deformation. A sharp signature is the dynamical emergence of an effective…

High Energy Physics - Theory · Physics 2025-10-29 Wen-Xin Lai , Huajia Wang , Yongjiang Xu