A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space of \(G\)-bundles

DOI10.1007/BF01076110zbMath0857.17021OpenAlexW2050011257MaRDI QIDQ1907459

A. V. Stoyanovskii, Boris L. Feigin

Publication date: 25 February 1996

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01076110

zbMATH Keywords

Wess-Zumino modelmodular functorconformal blocksaffine Lie algebramoduli space of \(G\)-bundlesloop Lie algebra of analytic mapsvacuum representation of higher level

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (2)

Loop Grassmannians of Quivers and Affine Quantum Groups ⋮ Unnamed Item

Cites Work

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• Fusion rules and modular transformations in 2D conformal field theory
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Generalized SU(2) theta functions
• Stable pairs, linear systems and the Verlinde formula
• Flat connections and geometric quantization
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

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