Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations

TL;DR

This paper explores how $Tar{T}$-like deformations can generate non-linear electrodynamics theories, specifically deriving generalized Born-Infeld theory from ModMax and Maxwell theories, revealing new connections in theoretical physics.

Contribution

It introduces a $Tar{T}$-like deformation framework that links ModMax and Born-Infeld theories, providing a novel method to derive non-linear electrodynamics from linear theories.

Findings

Deformed ModMax theory becomes generalized Born-Infeld electrodynamics.

A new $Tar{T}$-like operator generates these theories from Maxwell and Born-Infeld.

The approach preserves conformal and electromagnetic-duality invariance.

Abstract

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 deformed theory is the generalized non-linear Born-Infeld electrodynamics. Being inspired by the invariance under the flow equation for Born-Infeld theories, we propose another $T\bar{T}$-like operator generating the ModMax and generalized Born-Infeld non-linear electrodynamic theories from the usual Maxwell and Born-Infeld theories, respectively.