Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model

Details Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model

1997-03-04

arxiv.org/abs/hep-th/9703024v2

JHEP 9906:005,1999

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex. Introduction rewritten. Some new results added

Scientific paper

10.1088/1126-6708/1999/06/005

This paper addresses an issue essential to the study of hidden supersymmetries (meaning here ones that do not close on the Hamiltonian) for one-dimensional non-linear supersymmetric sigma models. The issue relates to ambiguities, due to partial integrations in superspace, both in the actual definition of these supersymmetries and in the Noether definition of the associated supercharges. The unique consistent forms of both these definitions have to be determined simultaneously by a process that adjusts the former definitions so that the associated supercharges do indeed correctly generate them with the aid of the canonical formalism. The paper explains and illustrates these matters and gives some new results.

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