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A note on knot invariants and q-deformed 2d Yang-Mills

Published version
Peer-reviewed

Change log

Authors

De Haro, S 

Abstract

We compute expectation values of Wilson loops in q-deformed 2d Yang-Mills on a Riemann surface and show that they give invariants of knots in 3-manifolds which are circle bundles over the Riemann surface. The areas of the loops play an essential role in encoding topological information about the extra dimension, and they are quantized to integer or half integer values.

Description

Keywords

hep-th, hep-th, math-ph, math.MP

Journal Title

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Conference Name

Journal ISSN

0370-2693
1873-2445

Volume Title

634

Publisher

Elsevier BV