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Related papers: Integrability and Renormalization under $T \bar T$

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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 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

In this letter, we investigate the deformation of the ModMax theory, as a unique Lagrangian of non-linear electrodynamics preserving both conformal and electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show that the…

High Energy Physics - Theory · Physics 2022-04-20 H. Babaei-Aghbolagh , Komeil Babaei Velni , Davood Mahdavian Yekta , H. Mohammadzadeh

We show that method of characteristics provides a powerful new point of view on $T\bar{T}$-and related deformations. Previously, the method of characteristics has been applied to $T\bar{T}$-deformation mainly to solve Burgers' equation,…

High Energy Physics - Theory · Physics 2023-04-19 Jue Hou

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 study perturbative renormalization of the composite operators in the $T\bar T$-deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases.…

High Energy Physics - Theory · Physics 2021-06-07 Anshuman Dey , Mikhail Goykhman , Michael Smolkin

The scattering transformation developed by Mallat is put into the perspective of field theory. It is shown to be a simultaneous transformation of the field and the "time" parameter explicitly used in the definition of path integrals central…

General Physics · Physics 2014-07-01 Michael E. Glinsky

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

It has previously been proven that $T\bar T$ - deformed CFTs possess Virasoro $\times$ Virasoro symmetry at the full quantum level, whose generators are obtained by simply transporting the original CFT generators along the $T\bar T$ flow.…

High Energy Physics - Theory · Physics 2022-12-29 Monica Guica , Ruben Monten , Ioannis Tsiares

This paper reviews and extends the recently discovered connections between marginal and irrelevant stress-energy tensor deformations and gravity theories in arbitrary space-time dimensions. We start by discussing how $T\bar{T}$ and…

High Energy Physics - Theory · Physics 2024-08-13 Nicolò Brizio , Tommaso Morone , Roberto Tateo

We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of…

High Energy Physics - Theory · Physics 2009-12-07 Emiliano Imeroni

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

We consider the most general set of integrable deformations extending the $T\bar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorised S-matrix related to the higher-spin conserved…

High Energy Physics - Theory · Physics 2020-05-27 Guzmán Hernández-Chifflet , Stefano Negro , Alessandro Sfondrini

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…

The $\text{T}\bar{\text{T}}$-deformed classical Lagrangian of a 2D Lorentz invariant theory can be derived from the original one, perturbed only at first order by the bare $\text{T}\bar{\text{T}}$ composite field, through a field-dependent…

High Energy Physics - Theory · Physics 2021-02-23 Paolo Ceschin , Riccardo Conti , Roberto Tateo

The $T \bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a…

High Energy Physics - Theory · Physics 2020-07-15 Andrew J. Tolley

In this paper we consider self interacting scalar quantum field theories over a $d$ dimensional Minkowski spacetime with various interaction Lagrangians which are suitable functions of the field. The interacting field observables are…

Mathematical Physics · Physics 2025-02-21 Nicola Pinamonti

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

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 explore whether one can $T \overline{T}$ deform a collection of theories that are already $T \overline{T}$-deformed. This allows us to define classes of irrelevant deformations that know about subsystems. In some basic cases, we explore…

High Energy Physics - Theory · Physics 2023-05-03 Christian Ferko , Savdeep Sethi