Rigid supersymmetry with boundaries

TL;DR

This paper develops methods to construct supersymmetric actions with boundaries in both space and superspace, enabling systematic inclusion of boundary terms and conditions consistent with supersymmetry.

Contribution

It introduces a systematic approach to build supersymmetric bulk-plus-boundary actions using extended F- or D-term formulas and boundary superfields.

Findings

Constructed supersymmetric bulk-plus-boundary actions in x-space and superspace.

Derived boundary conditions from the Euler-Lagrange variational principle.

Provided a framework for systematically adding boundary actions via boundary superfields.

Abstract

We construct rigidly supersymmetric bulk-plus-boundary actions, both in $x$-space and in superspace. For each standard supersymmetric bulk action a minimal supersymmetric bulk-plus-boundary action follows from an extended $F$- or $D$-term formula. Additional separately supersymmetric boundary actions can be systematically constructed using co-dimension one multiplets (boundary superfields). We also discuss the orbit of boundary conditions which follow from the Euler-Lagrange variational principle.