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 Gerard 't Hooft - Utrecht University
Contents: strings in QCD, the classical string, open and closed strings, quantization, Lorentz invariance, interactions and vertex operators, BRST quantization, the Polyakov path integral, T-Duality, complex coordinates, fermions in strings, etc.
by Warren Siegel - arXiv
Several of the early chapters are on the topic of general field theory, but explained from a new point of view resulting from insights gained from string field theory. A standard course on quantum field theory is assumed as a prerequisite.
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 David Tong - University of Cambridge
These lecture notes provide a detailed introduction to the bosonic string and conformal field theory. The text is aimed at beginning graduate students. It assumes a working knowledge of quantum field theory and general relativity.