Title
Instanton Counting in N=2 Super YangMills Theories: Nonperturbative Computations: Methods and Results,Used
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After the great success of perturbative methods in Quantum Field Theory in 1970s, physicists get faced with difficulties of nonperturbative analysis. In same 1970s the concept of supersymmetry appeared. It was realized soon that quantum corrections are controlled by supersymmetry via nonrenormalization theorems. The natural idea was, therefore, to use supersymmetric theories as a laboratory for nonperturbative effects, especially for the gauge theories, which are believed to describe Electroweak and Strong Interactions. In this book the N=2 super YangMills theories are considered. Their nonperturbative behavior is both highly nontrivial and tractable. Historically first solution for these models was provided by SeibergWitten theory. In early 2000s the microscopic derivation of this theory was obtained by Nekrasov through the Instanton Counting method. This method is the main subject of the book. The detailed explanations of basic concepts together with various results are presented. The book can be interesting for graduate students and researchers, working in Quantum Field Theory.
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