On Current-Squared Flows and ModMax Theories
Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli
SciPost Phys. 13, 012 (2022) · published 4 August 2022
- doi: 10.21468/SciPostPhys.13.2.012
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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 $4d$ analogue of the $T\bar{T}$ 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 $d=4$. We also demonstrate that the $\mathcal{N}=1$ supersymmetric version of the ModMax-Born-Infeld theory obeys a related supercurrent-squared flow which is formulated directly in $\mathcal{N}=1$ superspace.
Cited by 33
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Christian Ferko,
- 2 Liam Smith,
- 2 Gabriele Tartaglino