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Related papers: $T\bar{T}$-like Flows in Non-linear Electrodynamic…

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The self-dual condition, which ensures invariance under electromagnetic duality, manifests as a partial differential equation in nonlinear electromagnetism theories. The general solution to this equation is expressed in terms of an…

High Energy Physics - Theory · Physics 2025-09-09 Hossein Babaei-Aghbolagh , Komeil Babaei Velni , Song He , Zahra Pezhman

In this paper we initiate the study of six-dimensional non-linear chiral two-form gauge theories as deformations of free chiral two-form gauge theories driven by stress-tensor $T\overline T$-like flows. To lay the background for this study,…

High Energy Physics - Theory · Physics 2024-06-27 Christian Ferko , Sergei M. Kuzenko , Kurt Lechner , Dmitri P. Sorokin , Gabriele Tartaglino-Mazzucchelli

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 demonstrate that the necessary condition for $SO(N) \times SO(N)$ duality invariance manifests as a partial differential equation in two-dimensional scalar theories. This condition, expressed as a partial differential equation,…

High Energy Physics - Theory · Physics 2025-09-09 H. Babaei-Aghbolagh , Song He , Hao Ouyang

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

Born-Infeld theory is the non-linear generalization of Maxwell electrodynamics. It naturally arises as the low-energy effective action of open strings, and it is also part of the world-volume effective action of D-branes. The N=1 and N=2…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

The Root-$T \overline{T}$ flow was recently introduced as a universal and classically marginal deformation of any two-dimensional translation-invariant field theory. The flow commutes with the (irrelevant) $T \overline{T}$ flow and it can…

High Energy Physics - Theory · Physics 2023-05-10 Riccardo Borsato , Christian Ferko , Alessandro Sfondrini

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

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

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

We introduce an extension of the generalised $T\bar{T}$-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating…

High Energy Physics - Theory · Physics 2022-09-28 Benjamin Doyon , Joseph Durnin , Takato Yoshimura

We study the $T\bar T$ deformation of boundary conformal field theories (BCFTs) from an intrinsic field-theoretic perspective. Formulating the deformation as a modification of the asymptotic variational principle in AdS$_3$, we obtain the…

High Energy Physics - Theory · Physics 2026-01-30 Feiyu Deng

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

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 consider Euler flows on two-dimensional (2D) periodic domain and are interested in the stability, both linear and nonlinear, of a simple equilibrium given by the 2D Taylor-Green vortex. As the first main result, numerical evidence is…

Fluid Dynamics · Physics 2024-10-01 Xinyu Zhao , Bartosz Protas , Roman Shvydkoy

In de Sitter (dS) holography, both the dS/CFT correspondence and the dS static patch holography have been extensively studied. In these two holographic frameworks, the dual field theories are defined on spacelike and timelike boundaries,…

High Energy Physics - Theory · Physics 2026-04-03 Jing-Cheng Chang , Yang He , Yu-Xiao Liu , Yuan Sun

It was noticed many years ago, in the framework of massless RG flows, that the irrelevant composite operator $T \bar{T}$, built with the components of the energy-momentum tensor, enjoys very special properties in 2D quantum field theories,…

High Energy Physics - Theory · Physics 2016-11-23 Andrea Cavaglià , Stefano Negro , István M. Szécsényi , Roberto Tateo

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

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on…

High Energy Physics - Theory · Physics 2018-07-06 Per Kraus , Junyu Liu , Donald Marolf

We revisit $T\bar T$ deformations of $d=2$ theories with fermions with a view toward the quantization. As a simple illustration, we compute the deformed Dirac bracket for a Majorana doublet and confirm the known eigenvalue flows…

High Energy Physics - Theory · Physics 2021-08-18 Kyung-Sun Lee , Piljin Yi , Junggi Yoon