Extended Joseph polynomials, quantized conformal blocks, and a \(q\)-Selberg type integral

DOI10.1016/j.geomphys.2012.06.008zbMath1254.22013arXiv1110.2187OpenAlexW2018094472MaRDI QIDQ451035

Paul Zinn-Justin, Vitaly O. Tarasov, Richárd Rimányi, Alexander Varchenko

Publication date: 26 September 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2187

zbMATH Keywords

\(q\)-Selberg type integralextended Joseph polynomialsquantized conformal blocks

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Quiver varieties and the quantum Knizhnik-Zamolodchikov equation, The \({{\mathbb{F}}}_p\)-Selberg integral, Loop models and \(K\)-theory, Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra, Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\), Grassmann-Grassmann conormal varieties, integrability, and plane partitions, The Brauer loop scheme and orbital varieties, \(q\)-difference systems for the Jackson integral of symmetric Selberg type, Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions, The \(\mathbb{F}_p\)-Selberg integral of type \(A_n\), Partial flag varieties, stable envelopes, and weight functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conformal blocks in the tensor product of vector representations and localization formulas
• A Selberg integral for the Lie algebra \(A_n\)
• On the variety of a highest weight module
• On Joseph's construction of Weyl group representations
• Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
• The \({\mathfrak{sl}}_3\) Selberg integral
• On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions
• The rational qKZ equation and shifted non-symmetric Jack polynomials
• Current algebras and Wess-Zumino model in two dimensions
• Classes unipotentes et sous-groupes de Borel
• Arrangements of hyperplanes and Lie algebra homology
• Quantum affine algebras and holonomic difference equations
• On algebraic equations satisfied by hypergeometric correlators in WZW models. I
• Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
• Quantization of the space of conformal blocks
• Elliptic Selberg integrals and conformal blocks
• Selberg-type integrals associated with \(\mathfrak{sl}_3\)
• Path representation of maximal parabolic Kazhdan-Lusztig polynomials.
• The Brauer loop scheme and orbital varieties
• Tensor Structures Arising from Affine Lie Algebras. I
• Conformal blocks and equivariant cohomology
• A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks
• Polynomial solutions ofqKZ equation and ground state of XXZ spin chain at Δ = −1/2
• The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials