03438oam 2200613 450 991025740770332120220722032605.03-540-70690-910.1007/978-3-540-70690-8(CKB)1000000000778152(SSID)ssj0000324679(PQKBManifestationID)12097579(PQKBTitleCode)TC0000324679(PQKBWorkID)10314292(PQKB)10025709(DE-He213)978-3-540-70690-8(MiAaPQ)EBC3088265(MiAaPQ)EBC6486368(PPN)155198645(EXLCZ)99100000000077815220210716d1997 uy 0engurnn#008mamaatxtccrA mathematical introduction to conformal field theory based on a series of lectures given at the Mathematisches Institut der Universität Hamburg /Martin Schottenloher1st ed. 1997.Berlin ;Heidelberg :Springer,[1997]©19971 online resource (VIII, 144 p.)Lecture Notes in Physics. New series m, MonographsBibliographic Level Mode of Issuance: Monograph3-540-61753-1 Includes bibliographical references and index.Mathematical 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.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 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.Lecture notes in physics.New series m,Monographs.Conformal invariantsQuantum field theoryMathematical physicsConformal invariants.Quantum field theory.Mathematical physics.530.143Schottenloher Martin1944-61173Universität Hamburg.Mathematisches Seminar.MiAaPQMiAaPQUtOrBLWBOOK9910257407703321Mathematical Introduction to Conformal Field Theory375674UNINA