A Mathematical Introduction to Conformal Field Theory

DOI10.1007/978-3-540-70690-8zbMath0874.17031OpenAlexW4301338745MaRDI QIDQ3130254

Martin Schottenloher

Publication date: 23 April 1997

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

Full work available at URL: https://doi.org/10.1007/978-3-540-70690-8

zbMATH Keywords

bibliographyrepresentationbosonic string theorycentral extensions of groupsVerma modulesWitt algebraVirasoro algebracompact Riemann surfacesconformal field theoriesdimension formulaVerlinde formulaKac determinantdiffeomorphism group of the circlefusion ruletwo-dimensional conformal field theorymoduli spaces of vector bundlesconformal groupscentral extensions of Lie algebrasconformal symmetries in dimension twospaces of generalized theta functions

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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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