A supersymmetric nonlinear sigma model analogue of the ModMax theory
Sergei M. Kuzenko, I.N. McArthur
Abstract
A bstract A decade ago, it was shown that associated with any model for U(1) duality-invariant nonlinear electrodynamics there is a unique U(1) duality-invariant supersymmetric nonlinear sigma model formulated in terms of chiral and complex linear superfields. Here we study the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 superconformal σ -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 U(1) × U(1) being the connected component of the isometry group.
Topics & Concepts
PhysicsSigma modelMathematical physicsConformal mapInvariant (physics)Isometry (Riemannian geometry)Duality (order theory)Nonlinear systemSupersymmetrySigmaSuperspaceQuantum electrodynamicsQuantum mechanicsPure mathematicsMathematical analysisMathematicsBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons