Tensor categories and vertex operator algebra extensions
Shashank Kanade (University of Denver)
Abstract: Abstract: There are certain fundamental constructions of building new VOAs out of known ones, namely, extending, orbifolding, taking cosets, quantum Hamiltonian reductions etc. Many of such constructions can be analysed by considering a suitable pair of VOAs (say, V and W), where one is a conformally embedded into another. A basic question then is relating representation categories of V and W. For this, the language of tensor categories is extremely useful. I'll start by explaining the theorem of Huang-Kirillov-Lepowsky that relates the representation categories as abelian categories. I'll then explain several theorems obtained jointly with Creutzig and McRae that relate (vertex) tensor structures on these representation categories. Time permitting, I'll mention applications to concrete examples.
Mathematics
Audience: researchers in the topic
Series comments: Description: Algebra related topics in Mathematics
| Organizer: | Zongzhu Lin* |
| *contact for this listing |