Smooth functorial field theories from B-fields and D-branes

  title={Smooth functorial field theories from B-fields and D-branes},
  author={Severin Bunk and K. Waldorf},
  journal={arXiv: Mathematical Physics},
In the Lagrangian approach to 2-dimensional sigma models, B-fields and D-branes contribute topological terms to the action of worldsheets of both open and closed strings. We show that these terms naturally fit into a 2-dimensional, smooth open-closed functorial field theory (FFT) in the sense of Atiyah, Segal, and Stolz-Teichner. We give a detailed construction of this smooth FFT, based on the definition of a suitable smooth bordism category. In this bordism category, all manifolds are equipped… Expand
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