Characters of logarithmic vertex operator algebras and coloured invariants of torus links

Abstract

We show that the characters of s l r \mathfrak {sl}_r versions of the ( 1 , p ) (1,p) singlet and the ( 1 , p ) (1,p) triplet vertex operator algebras arise as limits of appropriately coloured s l r \mathfrak {sl}_r Jones invariants of certain torus links.