000			03640nam a22005655i 4500
001			978-3-540-68628-6
003			DE-He213
005			20160302163541.0
007			cr nn 008mamaa
008			100301s2008 gw | s |||| 0|eng d
020			_a9783540686286 _9978-3-540-68628-6
024	7		_a10.1007/978-3-540-68628-6 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aSchottenloher, M. _eauthor.
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.
300			_aXV, 249 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, _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	_aPhysics.
650		0	_aAlgebra.
650		0	_aGlobal analysis (Mathematics).
650		0	_aManifolds (Mathematics).
650		0	_aQuantum field theory.
650		0	_aString theory.
650		0	_aElementary particles (Physics).
650	1	4	_aPhysics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aElementary Particles, Quantum Field Theory.
650	2	4	_aAlgebra.
650	2	4	_aQuantum Field Theories, String Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540686255
830		0	_aLecture Notes in Physics, _x0075-8450 ; _v759
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-68628-6
912			_aZDB-2-PHA
912			_aZDB-2-LNP
999			_c181374 _d181374