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SIGMA, 2017, Volume 13, 015, 17 pages (Mi sigma1215)  

This article is cited in 3 scientific papers (total in 3 papers)

Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry

Jan Fuksaab

a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
b Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Czech Republic

Abstract: Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians $Y[\mathfrak{gl}(2|1)]$ and $Y[\mathfrak{gl}(1|2)]$ are derived.

Keywords: algebraic Bethe ansatz; composite models.

Funding Agency Grant Number
Czech Technical University in Prague SGS15/215/OHK4/3T/14


DOI: https://doi.org/10.3842/SIGMA.2017.015

Full text: PDF file (421 kB)
Full text: http://www.emis.de/.../015
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Bibliographic databases:

ArXiv: 1611.00943
MSC: 17B37; 81R50; 82B23
Received: November 18, 2016; in final form March 3, 2017; Published online March 13, 2017
Language:

Citation: Jan Fuksa, “Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry”, SIGMA, 13 (2017), 015, 17 pp.

Citation in format AMSBIB
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\by Jan~Fuksa
\paper Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
\jour SIGMA
\yr 2017
\vol 13
\papernumber 015
\totalpages 17
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\crossref{https://doi.org/10.3842/SIGMA.2017.015}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Fuksa J., Slavnov N.A., “Form factors of local operators in supersymmetric quantum integrable models”, J. Stat. Mech.-Theory Exp., 2017, 043106  crossref  mathscinet  isi  scopus
    2. Hutsalyuk A., Liashyk A., Pakuliak S.Z., Ragoucy E., Slavnov N.A., “Scalar Products of Bethe Vectors in the Models With Gl(M|N) Symmetry”, Nucl. Phys. B, 923 (2017), 277–311  crossref  zmath  isi
    3. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_n)$”, SciPost Phys., 4:1 (2018), 006  crossref  isi
  • Symmetry, Integrability and Geometry: Methods and Applications
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