Speaker
Description
In Witten's CS/WZW correspondence the chiral WZW model appears from the chiral boundary condition imposed on the CS theory.
I will describe how similar boundary conditions (mixed chiral-antichiral) of the CS theory and of its AKSZ analogs produce many other interesting examples and how they explain, in particular, Poisson-Lie T-duality. Unlike the CS/WZW correspondence, this generalization is at the moment only perturbative; on the other hand, the perturbative renormalization leads quickly to the (generalized) Ricci tensor and hopefully still hides many interesting things. The calculation is done using the Batalin-Vilkovisky method and the main tool is a CS propagator compatible with the chiral boundary conditions. Based on joint works with J. Pulmann, F. Valach, and D. Youmans.
