String Theory Seminars

Rank-Level Duality of Conformal Blocks (Quantum Spacetime Seminar Series)

by Dr Swarnava Mukhopadhyay (TIFR)

Asia/Kolkata
A304

A304

Description
We consider decompositions of conformal blocks associated with affine Kac-Moody Lie algebras under conformal embeddings. These decompositions often induce a perfect pairing between conformal blocks associated with two different Lie algebras typically interchanging the rank of Lie algebras with the levels involved and vice-versa. In this talk, we will survey known results on rank-level duality isomorphisms and discuss some applications.
Poster