Jump to ContentJump to Main Navigation
Chern-Simons Theory, Matrix Models, and Topological Strings$
Users without a subscription are not able to see the full content.

Marcos Mariño

Print publication date: 2005

Print ISBN-13: 9780198568490

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198568490.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 23 July 2019

APPLICATIONS OF THE TOPOLOGICAL STRING/GAUGE THEORY CORRESPONDENCE

APPLICATIONS OF THE TOPOLOGICAL STRING/GAUGE THEORY CORRESPONDENCE

Chapter:
(p.177) 10 APPLICATIONS OF THE TOPOLOGICAL STRING/GAUGE THEORY CORRESPONDENCE
Source:
Chern-Simons Theory, Matrix Models, and Topological Strings
Author(s):

Marcos Mariño

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568490.003.0010

This chapter considers two applications of the topological string/gauge theory correspondence. The first application is to Chern-Simons knot and link invariants, and the second application is to supersymmetric gauge theories in four dimensions. It was previously shown that Gromov-Witten invariants can be written in terms of integer, or BPS invariants, and that knot invariants can be interpreted as open string amplitudes. Putting these two things together, one finds that Chern-Simons knot invariants can be expressed in terms of new integer invariants, and this leads to some surprising structure results for the Chern-Simons invariants of knots. These structure results are made more precise and some examples are given.

Keywords:   topological strings, string theory, gauge theory, knot invariants, Chern-Simons theory

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .