Auxiliary tensor fields for Sp(2,R) self-duality

Understand

The coset Sp(2,R)/U(1) is parametrized by two real scalar fields.

• We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2,R) self-duality.
• In this new formulation, Sp(2,R) duality of the nonlinear scalar-gauge equations of motion is equivalent to an Sp(2,R) invariance of the auxiliary interaction.
• We derive this result in two different ways, aiming at its further application to supersymmetric theories.