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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 propose a new deformed Rieffel product for functions in de Sitter spacetime, and study the resulting deformation of quantum field theory in de Sitter using warped convolutions. This deformation is obtained by embedding de Sitter in a…

High Energy Physics - Theory · Physics 2021-06-15 M. B. Fröb , A. Much

The subject of this thesis is the rigorous construction of QFT models with nontrivial interaction. Two different approaches in the framework of AQFT are discussed. On the one hand, an inverse scattering problem is considered. A given…

Mathematical Physics · Physics 2015-03-04 Sabina Alazzawi

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

We consider the $T\bar T$ deformation of 2d large $N$ YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the…

High Energy Physics - Theory · Physics 2021-03-17 A. Gorsky , D. Pavshinkin , A. Tyutyakina

We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These {\lambda}-deformations interpolate between a WZW model and the non-Abelian T-dual of a Principal Chiral Model on a group G…

High Energy Physics - Theory · Physics 2015-06-23 Konstantinos Sfetsos , Daniel C. Thompson

We investigate the behaviour of two-dimensional quantum field theories with $\mathcal{N}=(0,2)$ supersymmetry under a deformation induced by the `$T\bar{T}$' composite operator. We show that the deforming operator can be defined by a…

High Energy Physics - Theory · Physics 2019-12-17 Hongliang Jiang , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli

We study correlators in two-dimensional $T\bar{T}$-deformed conformal field theories by interpreting the $T\bar{T}$ deformation as a coupling to two-dimensional gravity. To demonstrate the utility of the massive gravity framework as a…

High Energy Physics - Theory · Physics 2025-07-28 Shinji Hirano , Vinayak Raj

Deformations of quantum field theories which preserve Poincar\'e covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an…

Mathematical Physics · Physics 2015-05-27 Gandalf Lechner

The $T{\bar T}$ deformation of a relativistic two-dimensional theory results in a solvable gravitational theory. Deformed scattering amplitudes can be obtained from coupling the undeformed theory to the flat space Jackiw--Teitelboim (JT)…

High Energy Physics - Theory · Physics 2018-11-13 Sergei Dubovsky , Victor Gorbenko , Guzman Hernandez-Chifflet

We consider the $T\bar{T}$ deformation of two dimensional Yang--Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We…

High Energy Physics - Theory · Physics 2020-08-26 Aurora Ireland , Vasudev Shyam

The construction and analysis of deformations of quantum field theories by warped convolutions is extended to a class of globally hyperbolic spacetimes. First, we show that any four-dimensional spacetime which admits two commuting and…

Mathematical Physics · Physics 2012-02-24 Eric Morfa-Morales

Surprising links between the deformation of 2D quantum field theories induced by the composite $\textrm{T} \bar{\textrm{T}}$ operator, effective string models and the $AdS/$CFT correspondence, have recently emerged. The purpose of this…

High Energy Physics - Theory · Physics 2018-11-14 Riccardo Conti , Leonardo Iannella , Stefano Negro , Roberto Tateo

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

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 relationship between $T\bar{T}$ deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of…

High Energy Physics - Theory · Physics 2020-04-01 Alessandro Sfondrini , Stijn J. van Tongeren

In this paper, we shed new light onto $T\bar{T}$-deformations by engineering them on 2D surface defects, supporting chiral and antichiral CFT's, in a 4D Chern-Simons bulk. This approach is motivated by various connections between…

High Energy Physics - Theory · Physics 2022-08-24 Victor Py

$T\overline{T}$-deformed two-dimensional quantum Maxwell theory on the torus is examined, taking into account nonperturbative effects in the deformation parameter $\mu$. We study the deformed partition function solving the relevant flow…

High Energy Physics - Theory · Physics 2022-06-15 Luca Griguolo , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

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

That the exact quantum S-matrix of $\text{T}\bar{\text{T}}$-deformed field theories is known has interesting consequences for their perturbative renormalisation. Recent investigations into the interplay between renormalisation and…

High Energy Physics - Theory · Physics 2022-06-08 Subhroneel Chakrabarti , Arkajyoti Manna , Madhusudhan Raman