Sigma-models having supermanifolds as target spaces

Abstract

We study a topological sigma-model ($A$-model) in the case when the target space is an ($m_0|m_1$)-dimensional supermanifold. We prove under certain conditions that such a model is equivalent to an $A$-model having an ($m_0-m_1$)-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.

6 pages,latex

References in corpus (2)

• Mirror Manifolds And Topological Field Theory
• Supermanifolds, Rigid Manifolds and Mirror Symmetry

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