Academics

4d mirror symmetry for class-S theories

Time:Wednesday, 15:30 - 16:30 Dec. 11, 2024

Venue:B627, Shuangqing Complex Building A

Organizer:Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker:Wenbin Yan

Geometric Representation

Theory Seminar


Organizers

Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan


Speaker

Wenbin Yan (YMSC)


Time

Wednesday, 15:30 - 16:30

Dec. 11, 2024


Venue

B627, Shuangqing Complex Building A


4d mirror symmetry for class-S theories

I will explain a (conjectural) correspondence between the representation theory of a vertex operator algebra (VOA) associated to a genus g Riemann surface with n-punctures and the geometry of Hitchin moduli space / character variety of the same Riemann surface. They are coming from Higgs / Coulomb branches 0f 4d class-S theories respectively. We propose that there exists a bijection between modular invariant modules of the VOA and fixed manifolds of Hitchin moduli spaces. The modularity is also related to dimensions of fixed manifolds. Moreover, all these data can be read from the mixed Hodge polynomials of the character variety. I will explain this correspondence in detail and provide examples.

DATEDecember 11, 2024
SHARE
Related News
    • 0

      6d super conformal field theories and little string theories

      Speaker: Kimyeong Lee (BIMSA)Time: 17:00-17:45, 2024-10-21Venue: A6-1Zoom: 388 528 9728Password: BIMSAAbstractQuantum field theory is a framework for interacting particles and provides a frame to understand our Nature in the fundamental level. Standard Model written in quantum field theory is the theory of all elementary particles and interactions besides the gravity. String/M theory has been ...

    • 1

      Categorified Quantum Groups, Braided Monoidal 2-Categories and the 4d Kitaev Model

      AbstractIt is well-known since the work of Hopf, Drinfel’d, Majid, Witten, and etc. in the late 20th century that Hopf algebra quantum groups play a signification role in both physics and mathematics. In particular, the category of representations of quantum groups are braided, and hence captures invariants of knots. This talk is based on works with F. Girelli, where we develop a systematic ca...