000			03346nam a22004815i 4500
001			978-3-540-70690-8
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005			20190213151751.0
007			cr nn 008mamaa
008			121227s1997 gw | s |||| 0|eng d
020			_a9783540706908 _9978-3-540-70690-8
024	7		_a10.1007/978-3-540-70690-8 _2doi
050		4	_aQC173.96-174.52
072		7	_aPHQ _2bicssc
072		7	_aSCI057000 _2bisacsh
072		7	_aPHQ _2thema
082	0	4	_a530.12 _223
100	1		_aSchottenloher, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	2	_aA Mathematical Introduction to Conformal Field Theory _h[electronic resource] : _bBased on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg / _cby Martin Schottenloher.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997.
300			_aVIII, 144 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Physics Monographs, _x0940-7677 ; _v43
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 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.
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 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		0	_aQuantum theory.
650	1	4	_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080
650	2	4	_aQuantum Information Technology, Spintronics. _0http://scigraph.springernature.com/things/product-market-codes/P31070
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783662141328
776	0	8	_iPrinted edition: _z9783662141311
776	0	8	_iPrinted edition: _z9783540617532
830		0	_aLecture Notes in Physics Monographs, _x0940-7677 ; _v43
856	4	0	_uhttps://doi.org/10.1007/978-3-540-70690-8
912			_aZDB-2-PHA
912			_aZDB-2-LNP
912			_aZDB-2-BAE
999			_c11816 _d11816