About the origins of the Virasoro cocycle

DOI10.1142/S1793744210000211zbMATH Open1211.81092arXiv1006.0641OpenAlexW2963330398MaRDI QIDQ620533

Claude Roger

Publication date: 19 January 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Abstract: This article gives a short sketch of the origins of Virasoro cocycle, both in algebra and quantum field theory.

Full work available at URL: https://arxiv.org/abs/1006.0641

zbMATH Keywords

Lie algebra cohomologyVirasoro algebraLie algebras of vector fieldscentral extensions of Lie groups and algebrastheory of anomaliesVirasoro cocycle

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) History of mathematics in the 20th century (01A60) History of quantum theory (81-03) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Anomalies in quantum field theory (81T50) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of Lie (super)algebras (17B56) Analysis on and representations of infinite-dimensional Lie groups (22E66)

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