A Mathematical Introduction to Conformal Field Theory

The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Schottenloher, Martin, 1944-
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Iaith:Anglais
Cyhoeddwyd: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
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Cyfres:Lecture Notes in Physics 759
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Edition sous un autre format:• A mathematical introduction to conformal field theory, M. Schottenloher, 2nd edition, 2008, Berlin, Springer, 1 vol. (XV-249 p.), Lecture notes in physics, 978-3-540-68625-5
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100 1 |a Schottenloher, Martin,  |d 1944- 
245 1 0 |a A Mathematical Introduction to Conformal Field Theory   |c by M. Schottenloher ; edited by W. Beiglböck, J. Ehlers, K. Hepp, H. Weidenmüller, R. Beig, W. Domcke, B.-G. Englert, U. Frisch, P. Hänggi, G. Hasinger, W. Hillebrandt, R. L. Jaffe, W. Janke, H. v. Löhneysen, M. Mangano, J.-M. Raimond, D. Sornette, S. Theisen, W. Weise, J. Zittartz. 
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500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Mathematical Preliminaries Conformal Transformations and Conformal Killing Fields The Conformal Group Central Extensions of Groups Central Extensions of Lie Algebras and Bargmann s Theorem The Virasoro Algebra First Steps Toward Conformal Field Theory Representation Theory of the Virasoro Algebra String Theory as a Conformal Field Theory Axioms of Relativistic Quantum Field Theory Foundations of Two-Dimensional Conformal Quantum Field Theory Vertex Algebras Mathematical Aspects of the Verlinde Formula Appendix A 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface. The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with most recent developments has also been added 
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650 |a Physique mathématique 
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776 0 |0 129080284  |t A mathematical introduction to conformal field theory  |f M. Schottenloher  |e 2nd edition  |d 2008  |c Berlin  |n Springer  |p 1 vol. (XV-249 p.)  |s Lecture notes in physics  |z 978-3-540-68625-5 
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