Solutions modulo \(p\) of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz

DOI10.3390/math5040052zbMath1406.33013arXiv1709.06189OpenAlexW2754005402MaRDI QIDQ1649034

Alexander Varchenko

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06189

zbMATH Keywords

Bethe ansatzGauss-Manin differential equationsmultidimensional hypergeometric integrals

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Statistical thermodynamics (82B30)

Related Items

Hypergeometric integrals modulo \(p\) and Hasse-Witt matrices, The \({{\mathbb{F}}}_p\)-Selberg integral, Determinant of 𝔽_{𝕡}-hypergeometric solutions under ample reduction, Notes on solutions of KZ equations modulo 𝑝^{𝑠} and 𝑝-adic limit 𝑠→∞, On the number of \(p\)-hypergeometric solutions of KZ equations, Solutions of KZ differential equations modulo \(p\), An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\), The \(\mathbb{F}_p\)-Selberg integral of type \(A_n\)

Cites Work

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• Quantum integrable model of an arrangement of hyperplanes
• On the homology of geometric lattices
• Arrangements of hyperplanes and Lie algebra homology
• Differential equations compatible with KZ equations
• Solutions of KZ differential equations modulo \(p\)
• Remarks on the Gaudin model modulo p