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Chern-Simons Theory, Matrix Models, and Topological Strings: 131 (International Series of Monographs on Physics) - Hardcover

 
9780198568490: Chern-Simons Theory, Matrix Models, and Topological Strings: 131 (International Series of Monographs on Physics)

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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 geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments.

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



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9780198726333: Chern-Simons Theory, Matrix Models, and Topological Strings (The International Series of Monographs on Physics): 131

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ISBN 10:  0198726333 ISBN 13:  9780198726333
Verlag: Oxford University Press, 2015
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Mariño, Marcos
Verlag: Oxford University Press, 2005
ISBN 10: 0198568495 ISBN 13: 9780198568490
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ISBN 10: 0198568495 ISBN 13: 9780198568490
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Buch. Zustand: Neu. Neuware - 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 thiscorrespondence 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 geometryand enumerative geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops themathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments. Artikel-Nr. 9780198568490

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