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

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The $T\bar{T}$ deformation of a supersymmetric two-dimensional theory preserves the original supersymmetry. Moreover, in several interesting cases the deformed theory possesses additional non-linearly realized supersymmetries. We show this…

High Energy Physics - Theory · Physics 2020-03-18 Christian Ferko , Hongliang Jiang , Savdeep Sethi , Gabriele Tartaglino-Mazzucchelli

We show that the $3d$ Born-Infeld theory can be generated via an irrelevant deformation of the free Maxwell theory. The deforming operator is constructed from the energy-momentum tensor and includes a novel non-analytic contribution that…

High Energy Physics - Theory · Physics 2024-01-31 Christian Ferko , Yangrui Hu , Zejun Huang , Konstantinos Koutrolikos , Gabriele Tartaglino-Mazzucchelli

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 identify the unique stress tensor deformation which preserves zero-birefringence conditions in non-linear electrodynamics, which is a $4d$ version of the ${T\overline{T}}$ operator. We study the flows driven by this operator in the three…

High Energy Physics - Theory · Physics 2023-11-22 Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We investigate several possible generalisations of $T\overline{T}$ deformations to three- and higher-dimensional field theories. Starting from the two-dimensional $T\overline{T}$ flow, we work out its higher-dimensional uplift, which…

High Energy Physics - Theory · Physics 2026-03-02 Nicolò Brizio , Moritz Kade , Alessandro Sfondrini , Dmitri P. Sorokin

This study introduces a high-order perturbation methodology to categorize two primary solution types within duality-invariant nonlinear electrodynamic theories, adhering to the differential self-duality criterion. The first solution type…

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

We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is…

High Energy Physics - Theory · Physics 2022-08-10 Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We construct a solvable deformation of two-dimensional theories with $(2,2)$ supersymmetry using an irrelevant operator which is a bilinear in the supercurrents. This supercurrent-squared operator is manifestly supersymmetric, and…

High Energy Physics - Theory · Physics 2020-01-15 Chih-Kai Chang , Christian Ferko , Savdeep Sethi , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli

We present a unified framework that connects four-dimensional duality-invariant nonlinear electrodynamics and two-dimensional integrable sigma models via the Courant-Hilbert and new auxiliary field formulations, both governed by a common…

High Energy Physics - Theory · Physics 2025-07-31 H. Babaei-Aghbolagh , Bin Chen , Song He

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

Given a model for self-dual non-linear electrodynamics in four spacetime dimensions, any deformation of this theory which is constructed from the duality-invariant energy-momentum tensor preserves duality invariance. In this work we present…

High Energy Physics - Theory · Physics 2023-11-30 Christian Ferko , Sergei M. Kuzenko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

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 show that the two-dimensional $N=(2,2)$ Volkov-Akulov action that describes the spontaneous breaking of supersymmetry is a $T\bar{T}$ deformation of a free fermionic theory. Our findings point toward a possible relation between nonlinear…

High Energy Physics - Theory · Physics 2019-11-20 Niccolò Cribiori , Fotis Farakos , Rikard von Unge

We construct a deformation of any $(0+1)$-dimensional theory of $N$ bosons with $SO(N)$ symmetry which is driven by a function of conserved quantities that resembles the root-$T \overline{T}$ operator of $2d$ quantum field theories. In the…

High Energy Physics - Theory · Physics 2023-08-21 Christian Ferko , Alisha Gupta

We investigate the "$T\bar{T}$" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $T\bar{T}$ deforming operator can…

High Energy Physics - Theory · Physics 2019-07-24 Marco Baggio , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli , Harriet Walsh

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

We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form.…

High Energy Physics - Theory · Physics 2024-09-30 Christian Ferko , Jue Hou , Tommaso Morone , Gabriele Tartaglino-Mazzucchelli , Roberto Tateo

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

High Energy Physics - Theory · Physics 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-$T \overline{T}$. For a conformal field theory, the operator coincides with the…

High Energy Physics - Theory · Physics 2022-11-23 Christian Ferko , Alessandro Sfondrini , Liam Smith , Gabriele Tartaglino-Mazzucchelli

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
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