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

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arxiv 2202.11156 v3 pith:32TTLHGB submitted 2022-02-22 hep-th

H. Babaei-Aghbolagh , Komeil Babaei Velni , Davood Mahdavian Yekta , H. Mohammadzadeh This is my paper · ORCID
classification hep-th
keywords born-infeldnon-lineartheorieslikeelectrodynamicelectrodynamicsgeneralizedinvariance
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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.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...

  2. On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.

  3. Courant-Hilbert deformations of Yang-Baxter sigma models

    hep-th 2026-02 conditional novelty 6.0 of 10

    Yang-Baxter and Courant-Hilbert deformations combine inside 4D Chern-Simons theory: the corrected action equals the master Lagrangian plus half the trace of the energy-momentum tensor.

  4. Integrable deformations of dimensionally reduced gravity

    hep-th 2025-02 conditional novelty 6.0 of 10

    Auxiliary field and Yang-Baxter deformations of D=2 dimensionally reduced gravity are shown to admit flat Lax representations, with the auxiliary field case preserving the Hamiltonian integrability structure.

  5. Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models

    hep-th 2025-07 conditional novelty 5.0 of 10

    A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarith...

  6. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

  7. On nonlinear self-duality in $4p$ dimensions

    hep-th 2026-01 conditional novelty 4.0 of 10

    Every 4D self-dual nonlinear electrodynamics model extends, via the same L(S,P) ansatz and equation, to U(1) duality-invariant (2p−1)-form theories in 4p dimensions (already in [19]); new here are a ModMax-type deform...

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