Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry

DOI10.1016/j.nuclphysb.2017.11.006zbMath1380.81152arXiv1705.09219OpenAlexW2771513364MaRDI QIDQ1695935

Peng Zhang

Publication date: 14 February 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09219

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

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Recurrence relations for off-shell Bethe vectors in trigonometric integrable models ⋮ 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 ⋮ On exact overlaps for \(\mathfrak{gl}(N)\) symmetric spin chains ⋮ Integrable crosscap states in \(\mathfrak{gl}(N)\) spin chains ⋮ Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry ⋮ On super Yangian covariance of the triple product system ⋮ On factorized overlaps: algebraic Bethe ansatz, twists, and separation of variables ⋮ New compact construction of eigenstates for supersymmetric spin chains ⋮ On the supersymmetric XXX spin chains associated to \(\mathfrak{gl}_{1|1} \) ⋮ Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors

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