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

Abstract

We give an explicit description of "bundles of conformal blocks" in Wess-Zumino-Witten models of Conformal field theory and prove that integral representations of Knizhnik-Zamolodchikov equations constructed earlier by the second and third authors are in fact sections of these bundles.

32 pp., amslatex

References in corpus (1)

• On algebraic equations satisfied by hypergeometric correlators in WZW models. II

Cited by in corpus (19)

• Branes: from free fields to general backgrounds
• On algebraic equations satisfied by hypergeometric correlators in WZW models. II
• Quantum Integrable Model of an Arrangement of Hyperplanes
• Unitarity of SL(2)-conformal blocks in genus zero
• Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks
• Conformal blocks in the tensor product of vector representations and localization formulas
• A representation theoretic approach to the WZW Verlinde formula
• Nonvanishing of conformal blocks divisors on ${\bar{M}}_{0,n}$
• Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model
• On algebraic equations satisfied by hypergeometric solutions of the qKZ equation
• Norm of a Bethe Vector and the Hessian of the Master Function
• Conformal blocks and equivariant cohomology
• Commuting differential and difference operators associated to complex curves, I
• Zhu's Theorem and an algebraic characterization of conformal blocks
• On inner product in modular tensor categories. II. Inner product on conformal blocks and affine inner product identities
• Congruences for Hasse--Witt matrices and solutions of $p$-adic KZ equations
• Twisted de Rham Complex on Line and Singular Vectors in $\widehat{{\mathfrak{sl}}_2}$ Verma Modules