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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

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

High Energy Physics - Theory · Physics 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

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

Boundary conformal field theory is the suitable framework for a microscopic treatment of D-branes in arbitrary CFT backgrounds. In this work, we develop boundary deformation theory in order to study the changes of boundary conditions…

High Energy Physics - Theory · Physics 2009-10-31 A. Recknagel , V. Schomerus

In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Rhiannon Cuttell

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

Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing…

Mathematical Physics · Physics 2012-09-12 Sabina Alazzawi

In this paper, we derive a $T\bar{T}$ deformed soft graviton theorem in the context of celestial holography. As a concrete example, it illustrates that a two-dimensional irrelevant deformation can be applied to a four-dimensional theory at…

High Energy Physics - Theory · Physics 2023-05-25 Song He , Pujian Mao , Xin-Cheng Mao

We consider current-current deformations that generalise $T\bar{T}$ ones, and show that they may be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we define the deformation as a modification of the S…

High Energy Physics - Theory · Physics 2020-03-18 Enrico Marchetto , Alessandro Sfondrini , Zhou Yang

We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For even dimensional spherical defects we find a…

High Energy Physics - Theory · Physics 2019-12-25 Lorenzo Bianchi

The purpose of this paper is to discuss a generalization of the bubble transform to differential forms. The bubble transform was discussed in a previous paper by the authors for scalar valued functions, or zero-forms, and represents a new…

Numerical Analysis · Mathematics 2022-02-08 Richard S. Falk , Ragnar Winther

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

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

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

This work explores a deformation of the Kitaev toric code that induces a phase transition out of the topologically ordered phase. By placing the model on a cylinder, the bulk global 1-form symmetries separate into distinct boundary…

Strongly Correlated Electrons · Physics 2026-02-05 Rodrigo Corso

Recently proposed double trace deformations of large $N$ holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as living on successive finite radius…

High Energy Physics - Theory · Physics 2018-12-20 Vasudev Shyam

We study deformations of closed string theory by primary fields of conformal weight $(1,1)$, using conformal techniques on the complex plane. A canonical surface integral formalism for computing commutators in a non-holomorphic theory is…

High Energy Physics - Theory · Physics 2010-11-01 Martin Cederwall , Alexander von Gussich , Per Sundell

We study a $T^2$ deformation of large $N$ conformal field theories, a higher dimensional generalization of the $T\bar T$ deformation. The deformed partition function satisfies a flow equation of the diffusion type. We solve this equation by…

High Energy Physics - Theory · Physics 2020-10-28 Alexandre Belin , Aitor Lewkowycz , Gabor Sarosi

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

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