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Chern-Simons Theory, Matrix Models, and Topological Strings$
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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

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STRING FIELD THEORY AND GAUGE THEORIES

STRING FIELD THEORY AND GAUGE THEORIES

Chapter:
(p.127) 7 STRING FIELD THEORY AND GAUGE THEORIES
Source:
Chern-Simons Theory, Matrix Models, and Topological Strings
Author(s):

Marcos Mariño

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568490.003.0007

This chapter shows that both Chern-Simons gauge theories and matrix models with polynomial potentials can be realized as open string theories. To show that Chern-Simons theory and matrix models with polynomial potentials are open string theories the strategy is to prove that these gauge theories describe the spacetime dynamics of topological open strings on certain backgrounds. To do this, string field theory is used. Some basic ingredients of the cubic string field theory introduced by Witten (1986) to describe the spacetime dynamics of open bosonic strings are described. The same model is used to describe topological strings. In bosonic open string field theory, the worldsheet of the string is considered to be an infinite strip parameterized by a spatial coordinate and a time coordinate.

Keywords:   string field theory, gauge theories, Chern-Simons theory, topological strings, Calabi-Yau manifolds, matrix models, open string theory

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