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N=2 Supersymmetric Dynamics for Pedestrians

  • Yuji Tachikawa

Part of the Lecture Notes in Physics book series (LNP, volume 890)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Yuji Tachikawa
    Pages 1-12
  3. Yuji Tachikawa
    Pages 25-35
  4. Yuji Tachikawa
    Pages 55-64
  5. Yuji Tachikawa
    Pages 65-79
  6. Yuji Tachikawa
    Pages 81-90
  7. Yuji Tachikawa
    Pages 129-144
  8. Yuji Tachikawa
    Pages 145-167
  9. Yuji Tachikawa
    Pages 201-205
  10. Back Matter
    Pages 207-224

About this book

Introduction

Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry.

These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies.

After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.

Keywords

Electromagnetic Duality Gaiotto Dualities N=2 Supersymmetry Textbook Non-Langrangian Theories Seiberg-Witten Curves Supersymmetric Quantum Field Theories

Authors and affiliations

  • Yuji Tachikawa
    • 1
  1. 1.Department of PhysicsUniversity of TokyoTokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08822-8
  • Copyright Information Hindustan Book Agency 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-08821-1
  • Online ISBN 978-3-319-08822-8
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site