Boundary Terms for Globally Supersymmetric Actions


Hugh Luckock


Research Report 94-41
Date: 7 December 1994


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)

Secondary: 81Q60, 58C50, 17B70


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