Topological Strings and their Physical Applications
by Andrew Neitzke, Cumrun Vafa
Publisher: arXiv 2005
Number of pages: 82
We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings, such as the notions of Calabi-Yau manifold and toric geometry, as well as physical methods developed for solving them, such as mirror symmetry, large N dualities, the topological vertex and quantum foam.
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by Sophie de Buyl - arXiv.org
Contents: A First Approach; General Framework; Homogeneous Cosmologies; Oxidation; Hyperbolic Algebras; General Framework; Dirac Fermions; Eleven Dimensional Supergravity; Dualities and Signatures of G++ Invariant Theories; etc.
by Sunil Mukhi - arXiv
This text provides some historical background and then reviews developments in string theory over the last twenty-five years. Both perturbative and non-perturbative approaches are surveyed and their impact on how we view quantum gravity is analysed.
by Neil Lambert - King's College London
This course will introduce string theory, which has become the dominant framework for a complete theory of all physical phenomena. As such it is in some sense a course to introduce the modern view of particle physics at its most fundamental level.
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The text covers the basic concepts of modern string theory: covariant and light-cone quantisation of bosonic and fermionic strings, geometry and topology of string world-sheets, vertex operators and string scattering amplitudes, etc.