Supersymmetric Duality Rotations

TL;DR

This paper derives conditions for duality invariance in supersymmetric abelian vector multiplet theories, introduces a family of solutions including the N=1 super Born-Infeld action, and proposes a scheme for N=2 superconformal actions.

Contribution

It provides the first derivation of superfield equations for duality invariance in N=1 and N=2 supersymmetric theories and constructs new duality invariant models.

Findings

Derived superfield equations for duality invariance.

Identified the N=1 super Born-Infeld as a solution.

Proposed a perturbative scheme for N=2 superconformal actions.

Abstract

We derive N = 1, 2 superfield equations as the conditions for a (nonlinear) theory of one abelian N = 1 or N = 2 vector multiplet to be duality invariant. The N = 1 super Born-Infeld action is a particular solution of the corresponding equation. A family of duality invariant nonlinear N = 1 supersymmetric theories is described. We present the solution of the N = 2 duality equation which reduces to the N = 1 Born-Infeld action when the (0,1/2) part of N = 2 vector multiplet is switched off. We also propose a constructive perturbative scheme to compute duality invariant N = 2 superconformal actions.