Compensator-free π©=2 extension of ModMax and scalar propagation
Abstract
We construct a compensator-free π©=2 superconformal and electric--magnetic duality-invariant extension of ModMax electrodynamics in ordinary flat superspace. The action is built entirely from the Abelian vector multiplet, using a derivative composite of its field strength, and the self-duality equation is solved to all orders as a formal series in the coupling. Upon setting the additional π©=1 chiral multiplet to zero, the action is equivalent off shell to the π©=1 ModMax action of Bandos, Lechner, Sorokin and Townsend through a local vector-prepotential redefinition. Since the complex scalar of the π©=2 multiplet is set to zero in this reduction, we add one superconformal interaction that leaves the reduction unchanged and is chosen to ensure causal scalar propagation. On constant non-null electromagnetic backgrounds with vanishing scalar expectation value, the higher-order scalar coefficients are fixed by requiring the scalar quadratic action to satisfy the stress-tensor square-root flow, modulo equations of motion and a total derivative. We determine the quadratic action of the full multiplet on these backgrounds to all orders. Its analytic continuation to finite Ξ³β₯0 gives causal scalar propagation, with transverse speed squared eβΞ³ and unit longitudinal speed, the ModMax photon cones, luminal gauginos with positive kinetic coefficients, and auxiliary fields with algebraic equations of motion.
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BibTeX
@misc{davgadorj2026compensatorfree,
title = {{Compensator-free $\mathcal N=2$ extension of ModMax and scalar propagation}},
author = {Ariunzul Davgadorj},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23447},
eprint = {2610.23447},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23447},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Compensator-free π©=2 extension of ModMax and scalar propagation
AU - Ariunzul Davgadorj
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23447
UR - https://arxiv.org/abs/2610.23447
AB - We construct a compensator-free π©=2 superconformal and electric--magnetic duality-invariant extension of ModMax electrodynamics in ordinary flat superspace. The action is built entirely from the Abelian vector multiplet, using a derivative composite of its field strength, and the self-duality equation is solved to all orders as a formal series in the coupling. Upon setting the additional π©=1 chiral multiplet to zero, the action is equivalent off shell to the π©=1 ModMax action of Bandos, Lechner, Sorokin and Townsend through a local vector-prepotential redefinition. Since the complex scalar of the π©=2 multiplet is set to zero in this reduction, we add one superconformal interaction that leaves the reduction unchanged and is chosen to ensure causal scalar propagation. On constant non-null electromagnetic backgrounds with vanishing scalar expectation value, the higher-order scalar coefficients are fixed by requiring the scalar quadratic action to satisfy the stress-tensor square-root flow, modulo equations of motion and a total derivative. We determine the quadratic action of the full multiplet on these backgrounds to all orders. Its analytic continuation to finite Ξ³β₯0 gives causal scalar propagation, with transverse speed squared e^βΞ³ and unit longitudinal speed, the ModMax photon cones, luminal gauginos with positive kinetic coefficients, and auxiliary fields with algebraic equations of motion.
ER -