Title: On quantum sigma models with non-Abelian winding
Speaker: Reimundo Heluani
Speaker Info: UC Berkeley
Brief Description:
Special Note:
Abstract:
We will briefly review the construction of the quantum sigma model with target a Torus, adapting the work of Kapustin and Orlov (hep-th/0010293v2) to the Hamiltonian setup. This allows us to set up mirror symmetry for tori entirely within the vertex algebra framework. After this, we will show some problems one faces when generalizing these constructions to other nilmanifolds with noncommutative fundamental group, or to tori equipped with gerbes. In particular, the harmonic analysis on these nilmanifolds plays a crucial role. This is a report on joint ongoing research with M. Aldi (UCB).Date: Tuesday, January 12, 2010