Calogero-Moser eigenfunctions modulo \(p^s\)
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Publication:6117857
DOI10.1007/s11005-024-01792-1arXiv2312.01976MaRDI QIDQ6117857
Alexander Varchenko, Alexander Gorsky
Publication date: 20 March 2024
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2312.01976
Groups and algebras in quantum theory and relations with integrable systems (81R12) Arithmetic theory of polynomial rings over finite fields (11T55)
Cites Work
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- Spectrum of quantum transfer matrices via classical many-body systems
- On three dimensional quiver gauge theories and integrability
- KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians
- Parabolic Whittaker functions and topological field theories. I.
- Torus knots and the rational DAHA
- Seiberg-Witten prepotential from instanton counting
- Quantum \(K\)-theory of quiver varieties and many-body systems
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
- Arrangements of hyperplanes and Lie algebra homology
- Integrable connections related to zonal spherical functions
- Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation
- Representations of affine Lie algebras, parabolic differential equations, and Lamé functions
- Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups
- Relativistic Calogero-Moser model as gauged WZW theory.
- Differential equations compatible with KZ equations
- Dynamical Weyl groups and applications
- \(p\)-adic cycles
- Duality for Knizhnik-Zamolodchikov and dynamical equations
- Quantum cohomology of flag manifolds and Toda lattices
- Spectral duality between Heisenberg chain and Gaudin model
- Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
- qKZ/tRS duality via quantum K-theoretic counts
- An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\)
- Dualities in quantum integrable many-body systems and integrable probabilities. I.
- Surface defects in gauge theory and KZ equation
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Representations of rational Cherednik algebras with minimal support and torus knots.
- Solutions of KZ differential equations modulo \(p\)
- Quantum difference equation for Nakajima varieties
- Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps
- Quantization of Integrable Systems and Four Dimensional Gauge Theories
- Quantum Integrability and Supersymmetric Vacua
- Jones Polynomials of Torus Knots via DAHA
- Remarks on the Gaudin model modulo p
- KZ-Calogero correspondence revisited
- Quasimap counts and Bethe eigenfunctions
- Duality in integrable systems and gauge theories
- Integrable many-body systems and gauge theories
