YLYihua Alex Liu
Yihua Alex Liu
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Yihua Alex Liu has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Babak Haghighat
Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China
1 shared publication - Nicolai Reshetikhin
Beijing Institute for Mathematical Sciences and Applications, Beijing, China
1 shared publication Sergei Gukov
Richard N. Merkin Center for Pure and Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, United States of America
1 shared publication
Latest Publications
- 8 January 2026
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 59 (5)
Irregular KZ equations and Kac-Moody representations
In this paper we construct irregular representations of the affine Kac-Moody algebra $\hat{sl}(2,C)$. We show how such irregular representations correspond to irregular Gaiotto-Teschner representations of the Virasoro algebra. The intertwiners for such representations satisfy a version of Knizhnik-Zamolodchikov (KZ) equations which we call irregular KZ equations. By connecting to 2d Liouville theory, we show how the conformal blocks governed by our irregular KZ equation correspond to 4d Argyres-Douglas theories with surface operator insertions. The corresponding flat connections describe braiding between such operators on the Gaiotto curve.- 8 January 2026
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 59 (5)
Irregular KZ equations and Kac-Moody representations
In this paper we construct irregular representations of the affine Kac-Moody algebra $\hat{sl}(2,C)$. We show how such irregular representations correspond to irregular Gaiotto-Teschner representations of the Virasoro algebra. The intertwiners for such representations satisfy a version of Knizhnik-Zamolodchikov (KZ) equations which we call irregular KZ equations. By connecting to 2d Liouville theory, we show how the conformal blocks governed by our irregular KZ equation correspond to 4d Argyres-Douglas theories with surface operator insertions. The corresponding flat connections describe braiding between such operators on the Gaiotto curve.