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On Current-Squared Flows and ModMax Theories
by Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli
Submission summary
| Authors (as registered SciPost users): | Christian Ferko |
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| Preprint Link: | https://arxiv.org/abs/2203.01085v3 (pdf) |
| Date accepted: | July 12, 2022 |
| Date submitted: | July 5, 2022, 4:42 a.m. |
| Submitted by: | Christian Ferko |
| Submitted to: | SciPost Physics |
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| Academic field: | Physics |
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| Approach: | Theoretical |
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.
Published as SciPost Phys. 13, 012 (2022)