Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

TL;DR

This paper explores a new marginal $Tar{T}$-like deformation in two-dimensional scalar field theories, extending the ModMax nonlinear electrodynamics concept and providing a perturbative solution for the deformed Lagrangian.

Contribution

It introduces a novel $Tar{T}$-like deformation for 2D scalar fields and derives the corresponding ModMax-like Lagrangian from multiple scalar fields.

Findings

Identified a marginal $Tar{T}$-like deformation in 2D scalar theories

Reproduced the ModMax-like Lagrangian from multiple scalar fields

Extended the concept of ModMax theories to two-dimensional scalar models

Abstract

Recently, the ModMax theory has been proposed as a unique conformal nonlinear extension of electrodynamics. We have shown in [1] that this modification can be reproduced a marginal $T\bar{T}$-like deformation from pure Maxwell theory. Further, this deformation is solved by using a perturbative approach. In this letter, we will investigate another ModMax-like deformation for a two-dimensional (2D) scalar field theory. In this regard, we first find a marginal $T\bar{T}$-like deformation in two dimensions and then reproduce the MM-like Lagrangian from a multiple 2D scalar field theory.