New Dualities of Supersymmetric Gauge Theories
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
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Jörg Teschner Editor
New Dualities of Supersymmetric Gauge Theories
Mathematical Physics Studies Series editors Giuseppe Dito, Dijon, France Edward Frenkel, Berkeley, CA, USA Sergei Gukov, Pasadena, CA, USA Yasuyuki Kawahigashi, Tokyo, Japan Maxim Kontsevich, Bures-sur-Yvette, France Nicolaas P. Landsman, Nijmegen, The Netherlands
More information about this series at http://www.springer.com/series/6316
Jörg Teschner Editor
New Dualities of Supersymmetric Gauge Theories
123
Editor Jörg Teschner String Theory Group DESY Hamburg Germany
ISSN 0921-3767 Mathematical Physics Studies ISBN 978-3-319-18768-6 DOI 10.1007/978-3-319-18769-3
ISSN 2352-3905
(electronic)
ISBN 978-3-319-18769-3
(eBook)
Library of Congress Control Number: 2015941143 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Contents
Exact Results on N ¼ 2 Supersymmetric Gauge Theories. . . . . . . . . . Jörg Teschner
1
Families of N ¼ 2 Field Theories. . . . . . . . . . . . . . . . . . . . . . . . . . . . Davide Gaiotto
31
Hitchin Systems in N ¼ 2 Field Theory . . . . . . . . . . . . . . . . . . . . . . . Andrew Neitzke
53
A Review on Instanton Counting and W-Algebras . . . . . . . . . . . . . . . Yuji Tachikawa
79
β-Deformed Matrix Models and 2d/4d Correspondence . . . . . . . . . . . . Kazunobu Maruyoshi
121
Localization for N ¼ 2 Supersymmetric Gauge Theories in Four Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Vasily Pestun
159
Line Operators in Supersymmetric Gauge Theories and the 2d-4d Relation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Takuya Okuda
195
Surface Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sergei Gukov
223
The Super
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