Upcoming talk

Title: Twisted formalism of 3d supersymmetric theories - 1

Speaker: Myungbo Shim
Time: 2024/04/26 (Fri) 15:00 ~17:00 PM
Venue: Jingzhai 218

Abstract: Recently, vertex operator algebras from 3d supersymmetric theories gained a lot of attention. One way to study them directly is using twisted formalism and compute OPE. We are going to review [2204.02997]  (with relevant references) from scratch to utilize this technique to research holomorphically or topologically twisted SQFTs in 3d.

Past Talks:

Title: Topological Twisted Indices from 3-manifolds- 2

Speaker: Myungbo Shim
Time: 2024/04/19 (Fri) 15:00 ~17:00 PM
Venue: Jingzhai 218

Abstract:Last time, we reviewed the topologically twisted indices from the holonomy matrix method for 3-manifolds constructed by Dehn surgery of knot/link complements. This time, we are going to review the other method using the ideal triangulation based on Dimofte-Gaiotto-Gukov and Dimofte-Garoufalidis.Specifically, we'll review combinatorial data of ideal triangulation of 3-manifolds with n-cusped boundaries.

Title: 3d-3d correspondence and 2d N = (0,2) boundary conditions

Speaker: Hee Joong Chung (Jeju National University)
Time: 2024/03/29 (Fri) 15:00 ~17:00 PM
Venue: Jingzhai 218

Abstract : After a brief introduction on the 3d-3d correspondence and analytically continued Chern-Simons partition function, we interpret quiver forms or fermionic sums that appear in the generating function of Donaldson-Thomas invariant or characters of CFT in terms of half-index of 3d N=2 theories with certain 2d N = (0,2) boundary conditions. We apply this relation to the 3d-3d correspondence and obtain a Lagrangian description of 3d N=2 theories T[M_3] for 3-manifolds M_3 in several contexts.

Title: Topological Twisted Indices from 3-manifolds
Speaker: Myungbo Shim
Time: 2024/03/15 (Fri) 15:00 ~17:00 PM
Venue: Jingzhai 218
Abstract:Topologically twisted indices of 3d N=2 SCFTs are BPS partition function on a circle bundle over the Riemann surfaces of genus g. In 3d-3d correspondences, it can be obtained from topological invariants of 3-manifolds called Reidemeister-Ray-Singer torsion or simply analytic torsion. We review how to compute the torsion from 3-manifolds which are described as Dehn surgery of knot/link complements in two different ways for (P)SL(2,C) Chern-Simons theories.