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Sigma-models having supermanifolds as target spaces

1995/06/10 by Albert Schwarz · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/bf00398301

published as Lett.Math.Phys. 38 (1996) 91-96 · 6 pages,latex

arxiv created 1995/06/10 · arxiv updated 2009/11/30

Abstract

We study a topological sigma-model (A-model) in the case when the target space is an (m0|m1)-dimensional supermanifold. We prove under certain conditions that such a model is equivalent to an A-model having an (m0-m1)-dimensional manifold as a target space. We use this result to prove that in the case when the target space of A-model is a complete intersection in a toric manifold, this A-model is equivalent to an A-model having a toric supermanifold as a target space.

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