A supersymmetric nonlinear sigma model analogue of the ModMax theory

Abstract

A decade ago, it was shown that associated with any model for $\mathsf{U}(1)$ duality-invariant nonlinear electrodynamics there is a unique $\mathsf{U}(1)$ duality-invariant supersymmetric nonlinear sigma model formulated in terms of chiral and complex linear superfields. Here we study the $\mathcal{N}=1$ superconformal $\sigma$-model analogue of the conformal duality-invariant electrodynamics known as the ModMax theory. We derive its dual formulation in terms of chiral superfields and show that the target space is a Kähler cone with $\mathsf{U}(1)\times \mathsf{U}(1)$ being the connected component of the isometry group.

9 pages; V2: comments and references added

References in corpus (2)

• On superconformal projective hypermultiplets
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action

Cited by in corpus (6)

• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Quantization of the ModMax Oscillator
• Topological Mod(A)Max AdS black holes
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity