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

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.

arXiv comment11 pages, improved version

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Cited by in corpus (15)

• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Gravity and $T\bar{T}$ flows in higher dimensions
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• Light Propagation in the vicinity of the ModMax black hole
• Quantization of the ModMax Oscillator
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Flows in the Space of Interacting Chiral Boson Theories
• Comparative of light propagation in Born-Infeld, Euler-Heisenberg and ModMax nonlinear electrodynamics
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics