A mathematical introduction to conformal field theory. Based on a series of lectures given at the Mathematisches Institut der Universität Hamburg

DOI10.1007/978-3-540-68628-6zbMath1161.17014OpenAlexW2143178617MaRDI QIDQ934933

Martin Schottenloher

Publication date: 31 July 2008

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-68628-6

zbMATH Keywords

Lie algebrasrepresentation theorystring theoryVirasoro algebrasvertex algebrasconformal quantum field theoryVerlinde algebraaxiomatic quantum field theory

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Axiomatic quantum field theory; operator algebras (81T05) Vector bundles on curves and their moduli (14H60) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

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