000			01917 a2200241 4500
999			_c53804 _d53804
008			201103b ||||| |||| 00| 0 eng d
020			_a9783642088155
082			_a530.143 _bSCH
100			_aSchottenloher, M.
245			_aMathematical introduction to conformal field theory
250			_a2nd
260			_bSpringer, _c2008. _aBerlin:
300			_axv, 249 p. : ill. ; _bhb; _c24 cm.
365			_aEURO _b59.99
440			_aLecture notes in physics; 759
504			_aIncludes bibliographical references and index.
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			_aMathematical Physics
650			_aManifolds- Mathematics
650			_aAlgebra
650			_aQuantum Field Theory
942			_2ddc _cTD