Reality property of discrete Wronski map with imaginary step

DOI10.1007/s11005-011-0521-xzbMath1299.81027arXiv1102.5368OpenAlexW3099541032MaRDI QIDQ452224

Vitaly O. Tarasov, Alexander Varchenko, Evgenii E. Mukhin

Publication date: 20 September 2012

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

Full work available at URL: https://arxiv.org/abs/1102.5368

zbMATH Keywords

Bethe ansatzB. and M. Shapiro conjecturediscrete Wronski map\(XXX\) model

Mathematics Subject Classification ID

Real algebraic sets (14P05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Real algebra (13J30) Hopf algebras and their applications (16T05)

Related Items (3)

Bethe subalgebras of the group algebra of the symmetric group ⋮ Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\) ⋮ Completeness of the Bethe Ansatz for the Periodic Isotropic Heisenberg Model

Cites Work

• Unnamed Item
• The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
• On reality property of Wronski maps
• Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
• Generating operator of \(XXX\) or Gaudin transfer matrices has quasi-exponential kernel
• Rational functions and real Schubert calculus
• Representations of Yangians with GelfandZetlin bases

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