Topic: Irregular KZ-equations from Liouville Conformal Blocks

Speaker: Assoc. Prof. Babak Haghighat

Coordinates: PCFT C1124, 16:00, Thursday, December 12

Abstract: We consider Liouville conformal blocks with degenerate field insertions and one operator in an irregular representation of the Virasoro algebra. Such blocks satisfy modified BPZ equations and admit integral representations with integration over non-compact Lefschetz cycles. We show how they satisfy an irregular version of KZ equations from which the modified BPZ equations follow. Finally, we argue that our irregular KZ equations follow from irregular Kac-Moody representations.