Sigma models having supermanifolds as target spaces

Jun, 1995
6 pages
Published in:
  • Lett.Math.Phys. 38 (1996) 91-96
e-Print:
Report number:
  • UCD-95-06

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Abstract:
We study a topological sigma-model (AA-model) in the case when the target space is an (m0m1m_0|m_1)-dimensional supermanifold. We prove under certain conditions that such a model is equivalent to an AA-model having an (m0m1m_0-m_1)-dimensional manifold as a target space. We use this result to prove that in the case when the target space of AA-model is a complete intersection in a toric manifold, this AA-model is equivalent to an AA-model having a toric supermanifold as a target space.
  • sigma model: nonlinear
  • dimension: 2
  • supersymmetry: superspace
  • field theory: topological
  • correlation function
  • geometry: algebra