19–23 Jun 2023
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

3d indices and Chern-Simons thimbles

23 Jun 2023, 14:00
1h
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

Speaker

Dr Fei Yan

Description

3d N=2 indices, with potential extra insertions of line defects, contain important information on the protected operators in the theory. In this talk, I will describe methods to study such objects from perspectives of 2d (2,2) Landau-Ginzburg models, via a circle reduction of the 3d theory. In particular, in this context I will give an interpretation of recent results by Garoufalidis-Gu-Marino on the relation between 3d indices and entries of Stokes matrices appearing in complex Chern-Simons theories on knot complements. This interpretation is mediated by a conjecture regarding counting solutions to the Kapustin-Witten equations. This talk is based on joint work in progress with Davide Gaiotto, Ahsan Khan, and Greg Moore.

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