Mathematical introduction to conformal field theory
Series: Lecture notes in physics; 759Publication details: Springer, 2008. Berlin:Edition: 2ndDescription: xv, 249 p. : ill. ; hb; 24 cmISBN:- 9783642088155
- 530.143 SCH
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
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Books | IIT Gandhinagar General Stacks | General | 530.143 SCH (Browse shelf(Opens below)) | 1 | Available | 029719 |
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530.143 GAM Loop quantum gravity for everyone | 530.143 HAR Pedestrian approach to quantum field theory | 530.143 KAM Field theory of non-equilibrium systems | 530.143 SCH Mathematical introduction to conformal field theory | 530.1433 GRO Practical calculation and renormalization of one and multi-loop Feynman diagrams | 530.1435 BAI Introduction to gauge field theory | 530.1435 GRE Introduction to the confinement problem |
Includes bibliographical references and index.
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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