Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
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Publication:2067233
DOI10.1007/s00023-021-01091-8OpenAlexW3195998570MaRDI QIDQ2067233
Publication date: 17 January 2022
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16729
orthosymplectic Lie superalgebrassolutions of Bethe ansatz equationssuperkernelsymmetric rational pseudo-differential operator
Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Superalgebras (17A70)
Related Items (4)
A note on odd reflections of super Yangian and Bethe ansatz ⋮ Completeness of Bethe ansatz for Gaudin models associated with \(\mathfrak{gl}(1|1)\) ⋮ Gaudin Hamiltonians on unitarizable modules over classical Lie (super)algebras ⋮ Monodromy bootstrap for \(\mathrm{SU}(2|2)\) quantum spectral curves: from Hubbard model to \(\mathrm{AdS}_3/\mathrm{CFT}_2\)
Cites Work
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- Eigenvalues of Bethe vectors in the Gaudin model
- Bethe ansatz equations and exact s matrices for the \(\text{Osp}(M|2n)\) open super-spin chain
- Lie algebras and equations of Korteweg-de Vries type
- Structure of basic Lie superalgebras and of their affine extensions
- Solutions to the \(XXX\) type Bethe ansatz equations and flag varieties
- Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus
- Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)
- From Dynkin diagram symmetries to fixed point structures
- On the supersymmetric XXX spin chains associated to \(\mathfrak{gl}_{1|1} \)
- Perfect integrability and Gaudin models
- Superopers on supercurves
- The solutions of \(\mathfrak{gl}_{M|N}\) Bethe ansatz equation and rational pseudodifferential operators
- Bispectral and \((\mathfrak{gl}_N,\mathfrak{gl}_M)\) dualities, discrete versus differential
- Miura opers and critical points of master functions
- Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras
- Some algebraic properties of differential operators
- Schubert calculus and representations of the general linear group
- CRITICAL POINTS OF MASTER FUNCTIONS AND FLAG VARIETIES
- Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)
- Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian
- Solutions of $ \newcommand{\g}{\mathfrak{g}} \newcommand{\n}{\mathfrak{n}} \newcommand{\gl}{\mathfrak{gl}} \gl_{m|n}$ XXX Bethe ansatz equation and rational difference operators
- Bethe eigenvectors of higher transfer matrices
- Gaudin models for 𝔤𝔩(m|n)
- Bethe vectors of the \(\text{osp}(1\mid 2)\) Gaudin model
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