On Current-Squared Flows and ModMax Theories

Ferko, Christian; Smith, Liam; Tartaglino, Gabriele

doi:10.21468/SciPostPhys.13.2.012

SciPost Physics

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
pdf
Submissions/Reports

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.2.012
TI  - On Current-Squared Flows and ModMax Theories
PY  - 2022/08/04
UR  - https://scipost.org/SciPostPhys.13.2.012
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 2
SP  - 012
A1  - Ferko, Christian
AU  - Smith, Liam
AU  - Tartaglino, Gabriele
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.2.012,
	title={{On Current-Squared Flows and ModMax Theories}},
	author={Christian Ferko and Liam Smith and Gabriele Tartaglino-Mazzucchelli},
	journal={SciPost Phys.},
	volume={13},
	pages={012},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.2.012},
	url={https://scipost.org/10.21468/SciPostPhys.13.2.012},
}

Cited by 24

Conti et al., Metric approach to a $$ \mathrm{T}\overline{\mathrm{T}} $$-like deformation in arbitrary dimensions
J. High Energ. Phys. 2022, 85 (2022) [Crossref]
Babaei-Aghbolagh et al., Marginal TT¯ -like deformation and modified Maxwell theories in two dimensions
Phys. Rev. D 106, 086022 (2022) [Crossref]
Ferko et al., Root- TT¯ Deformations in Two-Dimensional Quantum Field Theories
Phys. Rev. Lett. 129, 201604 (2022) [Crossref]
García et al., $$\sqrt{T\overline{T}}$$-deformed oscillator inspired by ModMax
Eur. Phys. J. Plus 138, 114 (2023) [Crossref]
Banerjee et al., Maximally symmetric nonlinear extension of electrodynamics with Galilean conformal symmetries
Phys. Rev. D 106, 085005 (2022) [Crossref]
Ferko et al., Sequential flows by irrelevant operators
SciPost Phys. 14, 098 (2023) [Crossref]
Ferko et al., Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry
SciPost Phys. 15, 198 (2023) [Crossref]
Ferko et al., $T \overline{T}$-like flows and $3d$ nonlinear supersymmetry
SciPost Phys. 16, 038 (2024) [Crossref]
Mkrtchyan et al., Solutions in Nonlinear Electrodynamics and their double copy regular black holes
J. High Energ. Phys. 2022, 12 (2022) [Crossref]
Borsato et al., Classical integrability of root- TT¯ flows
Phys. Rev. D 107, 086011 (2023) [Crossref]
Neves et al., Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background
Phys. Rev. D 107, 075019 (2023) [Crossref]
Colipí-Marchant et al., Axial anomaly in nonlinear conformal electrodynamics
Phys. Rev. D 107, 104042 (2023) [Crossref]
Flöss et al., Non-linear electrodynamics from massive gravity
J. High Energ. Phys. 2024, 194 (2024) [Crossref]
Tempo et al., Nonlinear automorphism of the conformal algebra in 2D and continuous $$ \sqrt{T\overline{T}} $$ deformations
J. High Energ. Phys. 2022, 129 (2022) [Crossref]
Barrientos et al., Accelerated black holes beyond Maxwell's electrodynamics
Physics Letters B 834, 137447 137447 (2022) [Crossref]
Ferko et al., ModMax oscillators and root- TT¯ -like flows in supersymmetric quantum mechanics
Phys. Rev. D 108, 046013 (2023) [Crossref]
Ebert et al., $T\bar{T}$ in JT Gravity and BF Gauge Theory
SciPost Phys. 13, 096 (2022) [Crossref]
Ferko et al., Duality-invariant nonlinear electrodynamics and stress tensor flows
Phys. Rev. D 108, 106021 (2023) [Crossref]
Ebert et al., Root- TT¯ deformed boundary conditions in holography
Phys. Rev. D 107, 126022 (2023) [Crossref]
Babaei-Aghbolagh et al., Manifestly SL(2, R) Duality-Symmetric Forms in ModMax Theory
J. High Energ. Phys. 2022, 147 (2022) [Crossref]
Hou, $$ T\overline{T} $$ flow as characteristic flows
J. High Energ. Phys. 2023, 243 (2023) [Crossref]
Kuzenko et al., New duality-invariant models for nonlinear supersymmetric electrodynamics
J. High Energ. Phys. 2023, 41 (2023) [Crossref]
Ferko et al., Quantization of the ModMax oscillator
Phys. Rev. D 108, 126021 (2023) [Crossref]
Bakhtiarizadeh et al., Rotating black strings beyond Maxwell's electrodynamics
J. Cosmol. Astropart. Phys. 2024, 061 (2024) [Crossref]

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ Christian Ferko,
² Liam Smith,
² Gabriele Tartaglino

Funders for the research work leading to this publication