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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 investigate the $T\bar{T}$-like flows for non-linear electrodynamic theories in $D(=\!\!2n)$-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed $T\bar{T}$…

High Energy Physics - Theory · Physics 2021-05-05 H. Babaei-Aghbolagh , Komeil Babaei Velni , Davood Mahdavian Yekta , H. Mohammadzadeh

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

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

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

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 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

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

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

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 consider a one-parameter family of composite fields -- bi-linear in the components of the stress-energy tensor -- which generalise the $\mathrm{T}\bar{\mathrm{T}}$ operator to arbitrary space-time dimension $d\geq 2$. We show that they…

High Energy Physics - Theory · Physics 2022-09-28 Riccardo Conti , Jacopo Romano , Roberto Tateo

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

All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an…

High Energy Physics - Theory · Physics 2023-02-01 Jorge G. Russo , Paul K. Townsend

We study interacting theories of $N$ left-moving and $\overline{N}$ right-moving Floreanini-Jackiw bosons in two dimensions. A parameterized family of such theories is shown to enjoy (non-manifest) Lorentz invariance if and only if its…

High Energy Physics - Theory · Physics 2024-08-07 Stephen Ebert , Christian Ferko , Cian Luke Martin , 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

We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal N=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear…

High Energy Physics - Theory · Physics 2020-06-24 Hongliang Jiang , 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

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 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

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
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