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

Marcos Mariño

Abstract

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory/gauge theory correspondence is at work. One of the most important examples of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold invariants, to topological string theory, which is deeply related to Gromov-Witten invariants. This has led to some surprising relations between three-manifold geometry and enumerative geom ... More

Keywords: gauge theories, string theories, Chern-Simons theory, Gromov-Witten, three-manifold geometry, enumerative geometry, Calabi-Yau, knot theory

Bibliographic Information

Print publication date: 2005 Print ISBN-13: 9780198568490
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198568490.001.0001

Authors

Affiliations are at time of print publication.

Marcos Mariño, author
Department of Theoretical Physics, CERN, Geneva, Switzerland and Department of Mathematics, Instituto Superior Técnico, Lisboa, Portugal

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