Chern-Simons Theory, Matrix Models, and Topological Strings

Marcos Marino - Collection International Series of Monographs on Physics

216 pages, parution le 03/10/2005

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Résumé

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.

Readership: Primary market: graduate students and academic professionals in string theory, mathematical physics, algebraic geometry and three-manifold topology. Secondary market: the theoretical physics and pure mathematics community at large.

L'auteur - Marcos Marino

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

Sommaire

Part I: Matrix Models, Chern-Simons Theory, and the Large N Expansion
- Matrix Models
- Chern-Simons Theory and Knot Invariants
Part II: Topological Strings
- Topological Sigma Models
- Topological Strings
- Calabi-Yau Geometries
Part III: The Topological String / Gauge Theory Correspondence
- String Theory and Gauge Theory
- String Field Theory and Gauge Theories
- Geometric Transitions
- The Topological Vertex
- Applications of the Topological String / Gauge Theory Correspondence
- A Symmetric Polynomials

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Marcos Marino
Collection	International Series of Monographs on Physics
Parution	03/10/2005
Nb. de pages	216
Format	16 x 24
Couverture	Relié
Poids	510g
Intérieur	Noir et Blanc
EAN13	9780198568490
ISBN13	978-0-19-856849-0