Advances in Geometry and Lie Algebras from Supergravity

This book aims to provide an overview of several topics in advanced Differential Geometry and Lie Group Theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main develo

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Pietro Giuseppe Fré

Advances in Geometry and Lie Algebras from Supergravity

Advances in Geometry and Lie Algebras from Supergravity

Theoretical and Mathematical Physics The series founded in 1975 and formerly (until 2005) entitled Texts and Monographs in Physics (TMP) publishes high-level monographs in theoretical and mathematical physics. The change of title to Theoretical and Mathematical Physics (TMP) signals that the series is a suitable publication platform for both the mathematical and the theoretical physicist. The wider scope of the series is reflected by the composition of the editorial board, comprising both physicists and mathematicians. The books, written in a didactic style and containing a certain amount of elementary background material, bridge the gap between advanced textbooks and research monographs. They can thus serve as basis for advanced studies, not only for lectures and seminars at graduate level, but also for scientists entering a field of research.

Editorial Board Wolf Beiglböck, Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany Piotr Chrusciel, Gravitational Physics, University of Vienna, Vienna, Austria Jean-Pierre Eckmann, Département de Physique Théorique, Université de Genéve, Geneve, Switzerland Harald Grosse, Institute of Theoretical Physics, University of Vienna, Vienna, Austria Antti Kupiainen, Department of Mathematics, University of Helsinki, Helsinki, Finland Hartmut Löwen, Institute of Theoretical Physics, Heinrich-Heine-University of Düsseldorf, Düsseldorf, Germany Michael Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, USA Nikita A. Nekrasov, Simons Center for Geometry and Physics, State University of New York, Stony Brook, USA M. Ohya, Tokyo University of Science, Noda, Japan Manfred Salmhofer, Institute of Theoretical Physics, University of Heidelberg, Heidelberg, Germany Stanislav Smirnov, Mathematics Section, University of Geneva, Geneva, Switzerland Leon Takhtajan, Department of Mathematics, State University of New York, Stony Brook, USA Jakob Yngvason, Institute of Theoretical Physics, University of Vienna, Vienna, Austria

More information about this series at http://www.springer.com/series/720

Pietro Giuseppe Fré

Advances in Geometry and Lie Algebras from Supergravity

123

Pietro Giuseppe Fré Pietra Marazzi, Alessandria Italy

ISSN 1864-5879 ISSN 1864-5887 (electronic) Theoretical and Mathematical Physics ISBN 978-3-319-74490-2 ISBN 978-3-319-74491-9 (eBook) https://doi.org/10.1007/978-3-319-74491-9 Library of Congress Control Number: 2018930138 © Springer International Publishing AG, part of Springer Nature 2018 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 simila