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DOE OSTI · 1879924

On Current-Squared Flows and ModMax Theories

Ferko, Christian·Smith, Liam·Tartaglino, Gabriele
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Abstract

We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is a 4d 4 d analogue of the T\overline{T} T T ¯ deformation in two dimensions. This result generalizes the observation that the ordinary Born-Infeld Lagrangian is related to the free Maxwell theory by a current-squared flow. As in that case, we show that no analogous relationship holds in any other dimension besides d=4 d = 4 . We also demonstrate that the \mathcal{N}=1 𝒩 = 1 supersymmetric version of the ModMax-Born-Infeld theory obeys a related supercurrent-squared flow which is formulated directly in \mathcal{N} = 1 𝒩 = 1 superspace.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSPhysics

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Ferko, Christian, Smith, Liam, Tartaglino, Gabriele. 2022-08-04. On Current-Squared Flows and ModMax Theories. https://doi.org/10.21468/scipostphys.13.2.012

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