Avoiding the theorem of Lerche and Shore

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1016/S0370-2693(99)00865-5

Supersymmetric $\sigma$-models obtained by constraining linear supersymmetric field theories are ill defined. Well defined subsectors parametrising Kahler manifolds exist but are not believed to arise directly from constrained linear ones. A counterexample is offered using improved understanding of membranes in superstring theories leading to crucial central terms modifying the algebra of supercharge densities

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