Showing hep-thShow all
3 papers · 1 filter
hep-th2024
Irregular KZ equations and Kac-Moody representations
Sergei Gukov, Babak Haghighat, Yihua Liu +1
In this paper we construct irregular representations of the affine Kac-Moody algebra . We show how such irregular representations correspond to irregula…
hep-th2024
Foams and KZ-equations in Rozansky-Witten theories
Sergei Gukov, Babak Haghighat, Nicolai Reshetikhin
In this paper, we present a geometric description of foams, which are prevalent in topological quantum field theories (TQFTs) based on quantum algebra, and reciprocally explore the…
hep-th2023
Flat Connections from Irregular Conformal Blocks
Babak Haghighat, Yihua Liu, Nicolai Reshetikhin
In this work we study Liouville conformal blocks with degenerate primaries and one operator in an irregular representation of the Virasoro algebra. Using an algebraic approach, we…