清华主页 EN
导航菜单

A gentle introduction to the 3d/3d correspondence

来源: 11-25

时间:Fri., 13:30-15:00, Nov.25, 2022

地点:Zoom ID: 9383671691 Password: 123456 https://us02web.zoom.us/j/9383671691?pwd=cUdMak5La1Q4d214TVZUQXhLaU5yQT09

组织者:Hao Wang, Xiaoyue Sun, Yuanyuan Fang

主讲人:Satoshi Nawata (Fudan University)

Abstract

In this talk, I will survey the development of the 3d/3d correspondence in the past years. The 3d/3d correspondence is the duality between complex Chern-Simons theory on a 3-manifold and 3d N=2 theory labeled by the 3-manifold. Although the full picture is yet to be uncovered, it exhibits a spectacular interplay between topology of 3-manifolds and QFT. In this talk, I introduce established examples such as modular transformations, equivariant Verlinde formulas, Z-hat, and quantum modularity in the 3d/3d correspondence. I will also mention open problems in this area. The talk is supposed to be 1.5-hour long.


Speaker

I am interested in mathematical structure hidden behind dynamics of M5-branes. Although the world-volume theory on M5-branes remains mysterious, it generates huge classes of quantum field theories in various dimensions. I would like to understand intriguing connections of supersymmetric gauge theories, topological quantum field theories, mathematical physics and string theory via dynamics of M5-branes.

返回顶部
相关文章
  • Grothendieck lines in 3d SQCD and Quantum K-theory of the Grassmannian

    AbstractIn this talk I will revisit the correspondence between 3d $\mathcal{N}=2$ SQCD and the quantum K-theory of the Grassmannian variety Gr$(N_c, n_f)$. 3d $N=2$ SQCD has gauge group $U(N_c)_{k,k+l N_c}$ and $n_f$ chiral matter multiplets in the fundamental representation of $U(N_c)$. By analysing the moduli space of 3d vacua, we will fix the values of the Chern-Simons (CS) levels $(k,l)$ th...

  • A constructive proof of finite time blowup of 3D incompressible Euler equations with smooth data

    Abstract:Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this talk, we will present a new exciting result with Dr. Jiajie Chen in which we prove finite time blowup of the 2D Boussinesq and 3D Euler equations with smooth initial data and boundary. There are several essentia...