Supersymmetry and Noncommutative Geometry
In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however
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Wim Beenakker Thijs van den Broek Walter D. van Suijlekom
Supersymmetry and Noncommutative Geometry 123
SpringerBriefs in Mathematical Physics Volume 9
Series editors Nathanaël Berestycki, Cambridge, UK Mihalis Dafermos, Princeton, USA Tohru Eguchi, Tokyo, Japan Atsuo Kuniba, Tokyo, Japan Matilde Marcolli, Pasadena, USA Bruno Nachtergaele, Davis, USA
More information about this series at http://www.springer.com/series/11953
Wim Beenakker Thijs van den Broek Walter D. van Suijlekom •
Supersymmetry and Noncommutative Geometry
123
Wim Beenakker Faculty of Science Radboud University Nijmegen Nijmegen The Netherlands
Thijs van den Broek Nikhef Radboud University Nijmegen Nijmegen The Netherlands
and
Walter D. van Suijlekom Faculty of Science Radboud University Nijmegen Nijmegen The Netherlands
University of Amsterdam Amsterdam The Netherlands
ISSN 2197-1757 ISSN 2197-1765 (electronic) SpringerBriefs in Mathematical Physics ISBN 978-3-319-24796-0 ISBN 978-3-319-24798-4 (eBook) DOI 10.1007/978-3-319-24798-4 Library of Congress Control Number: 2015950189 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 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)
Preface
The Standard Model of particle physics is an extremely successful theory, describing all currently known elementary particles and their nongravitational interactions. Experimentally, it is tested with previously unencountered precision. However, at the same time it is also clear that at some point it will meet its bounds. For instance, the gravitational force is not included, there are large quadratic corrections to the Higgs mass and it does not account for dark matter. We are therefore in need of a new theory, respecting the various constraints from both experiment and theory, from which the Standard Model emerges as a low-energy limit. The Standard Mod
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