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On quantum sigma models with non-Abelian winding
Algebra & Discrete Mathematics| Speaker: | Reimundo Heluani, UC Berkeley |
| Location: | 1147 MSB |
| Start time: | Fri, Mar 5 2010, 1:10PM |
Description
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 withing 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).