Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly
This is the first part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. This theory generalizes the tensor category theory for modules for a v
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Yi-Zhi Huang et al. Editors
Conformal Field Theories and Tensor Categories Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
Mathematical Lectures from Peking University
For further volumes: www.springer.com/series/11574
Chengming Bai r Jürgen Fuchs r Yi-Zhi Huang r Liang Kong r Ingo Runkel r Christoph Schweigert Editors
Conformal Field Theories and Tensor Categories Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
Editors Chengming Bai Chern Institute of Mathematics Nankai University Tianjin, People’s Republic of China
Liang Kong Institute for Advanced Study Tsinghua University Beijing, People’s Republic of China
Jürgen Fuchs Theoretical Physics Karlstad University Karlstad, Sweden
Ingo Runkel Department of Mathematics University of Hamburg Hamburg, Germany
Yi-Zhi Huang Department of Mathematics Rutgers University Piscataway, NJ, USA
Christoph Schweigert Department of Mathematics University of Hamburg Hamburg, Germany
ISSN 2197-4209 ISSN 2197-4217 (electronic) ISBN 978-3-642-39382-2 ISBN 978-3-642-39383-9 (eBook) DOI 10.1007/978-3-642-39383-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013952731 Mathematics Subject Classification: 16T05, 17B37, 17B69, 17B81, 18D10, 81T40, 81T45 © Springer-Verlag Berlin Heidelberg 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respec
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