Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory

TL;DR

This paper develops a manifestly $SL(2,R)$-invariant formulation of the energy-momentum tensor in ModMax and generalized Born-Infeld theories, revealing connections to $Tar{T}$-like deformations and conformal invariance.

Contribution

It introduces a new $SL(2,R)$-invariant structure for the energy-momentum tensor in ModMax and Born-Infeld theories, linking them to $Tar{T}$-like deformations.

Findings

Energy-momentum tensor expressed in $SL(2,R)$-invariant form.

Invariant actions corresponding to different couplings identified.

Connections established between these actions and $Tar{T}$-like deformations.

Abstract

In this paper, we will investigate a manifestly $SL(2,R)$-invariant structure for the energy-momentum tensor of ModMax theory as a nonlinear modification of Maxwell electrodynamics which includes conformal invariance as well. In the context of this theory, we show that the energy-momentum tensor of the generalized Born-Infeld theory can also be written in the same invariant form. We will find manifestly self-dual invariant actions corresponding to the invariant couplings $\lambda$ and $\gamma$ in these theories. It can be shown that the resultant actions correspond to the irrelevant and marginal $T\bar{T}$-like deformations, respectively.