Introduction to Conformal Field Theory With Applications to String T
Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop
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Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas • to be a source of advanced teaching material for specialized seminars, courses and schools Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg / Germany [email protected]
R. Blumenhagen E. Plauschinn
Introduction to Conformal Field Theory With Applications to String Theory
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Ralph Blumenhagen Max-Planck-Institut f¨ur Physik Werner-Heisenberg-Institut F¨ohringer Ring 6 80805 M¨unchen Germany
Erik Plauschinn Max-Planck-Institut f¨ur Physik Werner-Heisenberg-Institut F¨ohringer Ring 6 80805 M¨unchen Germany
Blumenhagen, R., Plauschinn, E., Introduction to Conformal Field Theory: With Applications to String Theory, Lect. Notes Phys. 779 (Springer, Berlin Heidelberg 2009), DOI 10.1007/ 978-3-642-00450-6
ISBN 978-3-642-00449-0
e-ISBN 978-3-642-00450-6
DOI 10.1007/978-3-642-00450-6 Springer Dordrecht Heidelberg London New York
Lecture Notes in Physics ISSN 0075-8450
e-ISSN 1616-6361
Library of Congress Control Number: 2009921991 c Springer-Verlag Berlin Heidelberg 2009 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the abse
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