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ModMax meets Susy

Igor Bandos
(
- Basque U., Bilbao and
- IKERBASQUE, Bilbao
)
,
Kurt Lechner
(
- Padua U. and
- INFN, Padua
)
,
Dmitri Sorokin
(
- Padua U. and
- INFN, Padua
)
,
Paul K. Townsend
(
- Cambridge U., DAMTP
)

Jun 14, 2021

Published in:

JHEP 10 (2021) 031

Published: Oct 5, 2021

e-Print:

2106.07547 [hep-th]

DOI:

10.1007/JHEP10(2021)031,
10.1002/9781119815570.ch2 (publication),
10.1002/9781119815570.ch1 (publication)

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Abstract: (Springer)

We give a prescription for

\mathcal{N}

= 1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition.

Note:

36 pp. v3 includes further minor corrections and clarifications

Conformal and W Symmetry
Duality in Gauge Field Theories
Supersymmetry and Duality
Supersymmetry Breaking
invariance: conformal
electromagnetic field: nonlinear
supersymmetry: duality
dimension: 4
symmetry: duality
gauge field theory: supersymmetry

References(49)

Figures(0)

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