# Boundary Terms for Globally Supersymmetric Actions

## Author

**Hugh Luckock**

## Status

Research Report 94-41

Date: 7 December 1994

## Abstract

Supersymmetry is always broken on a manifold-with-boundary, since the
supersymmetric variation of the Lagrangian is a total divergence which yields a
boundary term when integrated. If attention is restricted to a subalgebra of
generators which preserve the boundary, the invariance of the action can be
restored by adding a boundary correction whose variation cancels that from the
integrated Lagrangian. One can also impose boundary conditions which are
invariant under this subalgebra.

## Key phrases

supersymmetry. supersymmetric quantum mechanics. superspace. superfield.

## AMS Subject Classification (1991)

Primary:

Secondary: 81Q60, 58C50, 17B70

## Content

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