Generalized $T\overline{T}$-like Deformations in Duality-Invariant Nonlinear Electrodynamic Theories

TL;DR

This paper develops a perturbation approach to classify solution types in duality-invariant nonlinear electrodynamics, exploring their stress tensor flows and deformation properties, including $Tar{T}$-like and root-$Tar{T}$-like deformations.

Contribution

It introduces a high-order perturbation method to analyze duality-invariant nonlinear electrodynamics and their stress tensor flows, highlighting the interplay of different deformation types.

Findings

Classified two primary solution types based on differential self-duality.

Confirmed the commutativity of irrelevant and marginal operator flows.

Provided a framework for studying stress tensor flows in nonlinear electrodynamics.

Abstract

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 aligns with irrelevant stress tensor flows, resembling $T\bar{T}$ dynamics, and the second involves a blend of irrelevant $T\bar{T}$-like and marginal root-$T\bar{T}$-like deformations. Our approach facilitates the investigation of diverse duality-invariant nonlinear electrodynamics theories and their stress tensor flows and confirms the commutativity of flows initiated by irrelevant and marginal operators.