In mathematics, a chiral algebra is an algebraic structure introduced by as a rigorous version of the rather vague concept of a chiral algebra in physics. In Chiral Algebras,
Beilinson and
Drinfeld
Vladimir Gershonovich Drinfeld ( uk, Володи́мир Ге́ршонович Дрінфельд; russian: Влади́мир Ге́ршонович Дри́нфельд; born February 14, 1954), surname also romanized as Drinfel'd, is a renowne ...
introduced the notion of chiral algebra, which based on the pseudo-tensor category of D-modules. On the other hand, There is already a notion of vertex algebras based on
formal power series. Chiral algebras on curves are essentially conformal vertex algebras.
See also
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Chiral homology
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Chiral Lie algebra In algebra, a chiral Lie algebra is a D-module on a curve with a certain structure of Lie algebra. It is related to an \mathcal_2-algebra via the Riemann–Hilbert correspondence In mathematics, the term Riemann–Hilbert correspondence refers to ...
References
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Further reading
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Conformal field theory
Representation theory
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