Three-dimensional topological field theory and symplectic algebraic geometry II

@inproceedings{Kapustin2008ThreedimensionalTF,
  title={Three-dimensional topological field theory and symplectic algebraic geometry II},
  author={Anton Kapustin and Lev Rozansky},
  year={2008}
}
We study boundary conditions and defects in a threedimensional topological sigma-model with a complex symplectic target space X (the Rozansky-Witten model). We show that boundary conditions correspond to complex Lagrangian submanifolds in X equipped with complex fibrations. The set of boundary conditions has the structure of a 2-category; morphisms in this 2category are interpreted physically as one-dimensional defect lines separating parts of the boundary with different boundary conditions… CONTINUE READING

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