Topological sigma models

  title={Topological sigma models},
  author={Edward Witten},
  journal={Communications in Mathematical Physics},
  • E. Witten
  • Published 1 February 1988
  • Physics
  • Communications in Mathematical Physics
A variant of the usual supersymmetric nonlinear sigma model is described, governing maps from a Riemann surfaceΣ to an arbitrary almost complex manifoldM. It possesses a fermionic BRST-like symmetry, conserved for arbitraryΣ, and obeyingQ2=0. In a suitable version, the quantum ground states are the 1+1 dimensional Floer groups. The correlation functions of the BRST-invariant operators are invariants (depending only on the homotopy type of the almost complex structure ofM) similar to those that… 
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