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Sinica-NCTS Reading Seminar on Kapustin-Witten Equations
10:30 - 15:30, May 20, 2018 (Sunday)
Room 617, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 617室)
Lectures on Sigma-models and Branes
Siye Wu (National Tsing Hua University)


We start with topological sigma-models called the A-model and the B-model whose target spaces are symplectic or Calabi-Yau manifolds. When the worldsheet has a non-empty boundary, the boundary conditions of the sigma-models are specified by branes. Supersymmetry requires that the branes are A-branes supported on Lagrangian or coisotropic submanifolds and B-branes supported on complex submanifolds. We also discuss the A-infinity structure that appears in the category of branes. We then consider sigma-models whose target spaces are generalised Calabi-Yau manifolds with 3-form fluxes, and the B-field transforms among them. If time permits, we will also study gauged topological sigma models.


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