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001 | 978-3-540-68628-6 | ||
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008 | 100301s2008 gw | s |||| 0|eng d | ||
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_a9783540686286 _9978-3-540-68628-6 |
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_a10.1007/978-3-540-68628-6 _2doi |
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_aPHU _2bicssc |
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_aSCI040000 _2bisacsh |
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_aPHU _2thema |
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_a530.15 _223 |
100 | 1 |
_aSchottenloher, M. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 2 |
_aA Mathematical Introduction to Conformal Field Theory _h[electronic resource] / _cby M. Schottenloher. |
250 | _a2. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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300 |
_aXV, 249 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v759 |
|
505 | 0 | _aMathematical 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. | |
520 | _aThe 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. | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aGlobal analysis. | |
650 | 0 | _aQuantum theory. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
650 | 2 | 4 |
_aElementary Particles, Quantum Field Theory. _0http://scigraph.springernature.com/things/product-market-codes/P23029 |
650 | 2 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aQuantum Field Theories, String Theory. _0http://scigraph.springernature.com/things/product-market-codes/P19048 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
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_iPrinted edition: _z9783642088155 |
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_iPrinted edition: _z9783540864318 |
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_iPrinted edition: _z9783540686255 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v759 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-68628-6 |
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912 | _aZDB-2-LNP | ||
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