Torus 1-point functions for the sl2 WZW models and their modular properties

Simon Wood (Cardiff University)

Tuesday 24th February 16:00-17:00
Maths 311B

Abstract

Characters of modules over vertex operator algebras are important tools in conformal field theory. They are a special chase of chiral torus 1-point functions (namely those where the vacuum vector has been inserted) and their modular properties famously give rise to the Verlinde formula. In this talk we will generalise from vacuum insertions to insertions from any simple module in the example of the sl2 WZW models at non-negative integral level and explore their modular properties.

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