Chern-Simons Theory, Matrix Models, and Topological Strings
Title | Chern-Simons Theory, Matrix Models, and Topological Strings PDF eBook |
Author | Marcos Marino |
Publisher | Oxford University Press |
Pages | 210 |
Release | 2005-09-22 |
Genre | Science |
ISBN | 0191524530 |
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.
Chern-Simons Theory, Matrix Models, and Topological Strings
Title | Chern-Simons Theory, Matrix Models, and Topological Strings PDF eBook |
Author | Marcos Marino |
Publisher | |
Pages | 197 |
Release | 2005 |
Genre | |
ISBN |
Chern-Simons Theory, Matrix Models, and Topological Strings
Title | Chern-Simons Theory, Matrix Models, and Topological Strings PDF eBook |
Author | Marcos Marino |
Publisher | |
Pages | 197 |
Release | 2005 |
Genre | Gauge fields (Physics) |
ISBN | 9780191717604 |
After an introduction to matrix models and Cherns-Simons gauge theory, this book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implication of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory.
Chern-Simons Theory, Matrix Models, and Topological Strings
Title | Chern-Simons Theory, Matrix Models, and Topological Strings PDF eBook |
Author | Marcos Marino |
Publisher | Oxford University Press |
Pages | 210 |
Release | 2005 |
Genre | Science |
ISBN | 0198568495 |
This book provides an introduction to some of the most recent developments in string theory, and in particular to their mathematical implications and their impact in knot theory and algebraic geometry.
Matrix Models in Chern-Simons Theory
Title | Matrix Models in Chern-Simons Theory PDF eBook |
Author | Miguel Tierz Parra |
Publisher | |
Pages | 101 |
Release | 2008 |
Genre | |
ISBN |
String-Math 2015
Title | String-Math 2015 PDF eBook |
Author | Si Li |
Publisher | American Mathematical Soc. |
Pages | 306 |
Release | 2017-11-28 |
Genre | Mathematics |
ISBN | 1470429519 |
This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015–January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.
Applications of Random Matrices in Physics
Title | Applications of Random Matrices in Physics PDF eBook |
Author | Édouard Brezin |
Publisher | Springer Science & Business Media |
Pages | 519 |
Release | 2006-07-03 |
Genre | Science |
ISBN | 140204531X |
Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.