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

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.

12 pages, 1 figure, Accepted for publication in PLB

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• On space of integrable quantum field theories
• S-dual Amplitude and D3-Brane Couplings
• What is the quantity dual to the Lagrangian density?
• On SL(2;R) symmetry in nonlinear electrodynamics theories

Cited by in corpus (4)

• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• Axial anomaly in nonlinear conformal electrodynamics
• Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions