Sugawara construction for higher genus Riemann surfaces
DOI10.1016/S0034-4877(99)80041-XzbMath0943.17018arXivmath/9806032MaRDI QIDQ1305732
Publication date: 9 November 1999
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9806032
Knizhnik-Zamolodchikov equationsSugawara constructionhigher genus Riemann surfacesmulti-point Krichever-Novikov algebras
Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Relationships between algebraic curves and physics (14H81)
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- Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points
- Infinite conformal symmetry in two-dimensional quantum field theory
- The Sugawara construction and Casimir operators for Krichever-Novikov algebras
- Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces
- Krichever-Novikov-like bases on punctured Riemann surfaces
- Irrational conformal field theory
- Modules with highest weight for affine Lie algebras on Riemann surfaces
- Bases on multipunctured Riemann surfaces and interacting strings amplitudes
- Multipoint Lax operator algebras: almost-graded structure and central extensions
- Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras
- The cohomologies of the lie algebra of the vector fields in a circle
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