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A representation theoretic construction of (irregular) WZW conformal blocks

Date: 2022-08-12

Time: 11:00 - 12:00

Speaker

Gabriele Rembado

Abstract

Conformal blocks for the Wess–Zumino–Witten model can be constructed out of (co)invariants for affine-Lie-algebra modules. 
In the standard setup the result is a vector bundle over the space of configurations of points on the Riemann sphere, equipped with a flat connection: the Knizhnik–Zamolodchikov connection (KZ), encoding the differential equations satisfied by correlation functions.