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.
Bio
Prof. Babak Haghighat is currently a faculty member in the String Theory Group of Yau Mathematical Science Center, Tsinghua University.
Prof. Babak Haghighat's Personal Page: https://ymsc-strings.github.io/people/babak.html
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
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URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc