On algebraic equations satisfied by hypergeometric correlators in WZW models. I

DOI10.1007/BF02101739zbMath0835.17019OpenAlexW4233163683WikidataQ55981030 ScholiaQ55981030MaRDI QIDQ1328217

Vadim Schechtman, Alexander Varchenko, Boris L. Feigin

Publication date: 17 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101739

zbMATH Keywords

correlation functionscoinvariantsconformal blocksKnizhnik-Zamolodchikov equationsWZW conformal field theory

Mathematics Subject Classification ID

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

Related Items

Notes on solutions of KZ equations modulo 𝑝^{𝑠} and 𝑝-adic limit 𝑠→∞, On algebraic equations satisfied by hypergeometric correlators in WZW models. II, Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors, On the number of \(p\)-hypergeometric solutions of KZ equations, Solutions of KZ differential equations modulo \(p\), Anyonic topological order in twisted equivariant differential (TED) K-theory, Anyonic defect branes and conformal blocks in twisted equivariant differential (TED) K-theory, Extended Joseph polynomials, quantized conformal blocks, and a \(q\)-Selberg type integral, Local systems on configuration spaces, KZ connections and conformal blocks, Conformal blocks in the tensor product of vector representations and localization formulas, Arrangements and Frobenius like structures, An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\), Unitarity of SL(2)-conformal blocks in genus zero, Branes: From free fields to general backgrounds, Twisted de Rham complex on line and singular vectors in \(\widehat{\mathfrak{sl}_2}\) Verma modules

Cites Work

• Current algebras and Wess-Zumino model in two dimensions
• Arrangements of hyperplanes and Lie algebra homology
• On algebraic equations satisfied by correlators in Wess-Zumino-Witten models
• Unnamed Item