New Dualities of Supersymmetric Gauge Theories

  • Jörg Teschner

Part of the Mathematical Physics Studies book series (MPST)

Table of contents

About this book

Introduction

This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the long-standing electric-magnetic duality conjectures.

The book starts with an introductory article presenting a survey of recent advances, aimed at a wide audience with a background and interest in theoretical physics. The following articles are written for advanced students and researchers in quantum field theory, string theory and mathematical physics, our goal being to familiarize these readers with the forefront of current research.

The topics covered include recent advances in the classification and vacuum structure of large families of N=2 supersymmetric field theories, followed by an extensive discussion of the localisation method, one of the most powerful tools for exact studies of supersymmetric field theories. The quantities that have been studied in this way are partition functions, expectation values of line operators, and supersymmetric indices.

The book also reviews recently discovered connections between SUSY field theories in four dimensions and two-dimensional conformal field theory. These connections have a counterpart in relations between three-dimensional gauge theories and Chern-Simons theory; the book’s closing chapters explore connections with string theory.

Keywords

Chern-Simons Theories Conformal Field Theory Electric-Magnetic Duality Conjectures Gauge Theories Hitchin Systems Instanton Counting Liouville Theory S-duality Seiberg-Witten Theory Topological Strings

Editors and affiliations

  • Jörg Teschner
    • 1
  1. 1.String Theory GroupDESY String Theory GroupHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-18769-3
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-18768-6
  • Online ISBN 978-3-319-18769-3
  • Series Print ISSN 0921-3767
  • Series Online ISSN 2352-3905
  • Buy this book on publisher's site