24–27 Sept 2013
DESY Hamburg
Europe/Berlin timezone

Computing knot invariants with topological recursion

25 Sept 2013, 15:00
20m
Seminar room 2 (DESY Hamburg)

Seminar room 2

DESY Hamburg

Speaker

Mr Jie Gu (Universität Bonn)

Description

It's been conjectured that the Chern-Simons theory with SU(N) group on S3 in the large N limit can be described by closed topological string. When a Wilson line operator along some knot is inserted in the Chern-Simons theory, some brane appears in the topological string. We give support to the second half of the conjecture by computing the instanton numbers in B-model, using the topological recursion in the spirit of Eynard-Orantin and the spectral curves associated with torus knot insertion proposed by Aganagic and Vafa, and compare with the results in the Chern-Simons theory.

Primary authors

Mr Albrecht Klemm (Universität Bonn) Mr Hans Jockers (Universität Bonn) Mr Jie Gu (Universität Bonn) Mr Masoud Soroush (Universität Bonn)

Presentation materials