A Mathematical introduction to conformal field theory : based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
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 appearence of the Virasoro algebra in the context of...
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
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Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in physics. M, Monographs
43 |
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| Edition sous un autre format: | • A Mathematical introduction to conformal field theory, Martin Schottenloher, 1997, Berlin, Springer, 1 vol. (VIII-142 p.), Lecture notes in physics, 3-540-61753-1 • A Mathematical Introduction to Conformal Field Theory, Texte imprimé, 9783662141311 • A Mathematical Introduction to Conformal Field Theory, Texte imprimé, 9783662141328 |
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| 100 | 1 | |a Schottenloher, Martin, |d 1944- | |
| 245 | 1 | 0 | |a A Mathematical introduction to conformal field theory : |b based on a series of lectures given at the Mathematisches Institut der Universität Hamburg |c Martin Schottenloher. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in physics. M, Monographs |v 43 |x 1619-3407 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |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 Towards Conformal Field Theory -- Representation Theory of the Virasoro Algebra -- Projective Representations of Diff+ ( ) and More -- String Theory as a Conformal Field Theory -- Foundations of Two-Dimensional Conformal Quantum Field Theory -- Mathematical Aspects of the Verlinde Formula. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 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 appearence 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. This book is an important text for researchers and graduate students. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Champs, Théorie quantique des | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Invariants conformes | ||
| 776 | 0 | |0 045756775 |t A Mathematical introduction to conformal field theory |f Martin Schottenloher |d 1997 |c Berlin |n Springer |p 1 vol. (VIII-142 p.) |s Lecture notes in physics |z 3-540-61753-1 | |
| 776 | 0 | |t A Mathematical Introduction to Conformal Field Theory |b Texte imprimé |z 9783662141311 | |
| 776 | 0 | |t A Mathematical Introduction to Conformal Field Theory |b Texte imprimé |z 9783662141328 | |
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