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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 1, Pages 3–18
DOI: https://doi.org/10.4213/tmf9518 (Mi tmf9518) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Nested Bethe ansatz for the RTT algebra of sp(4) type

Č. Burdík, O. Navrátil

Czech Technical University in Prague, Prague, Czech Republic
Full-text PDF (450 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf9518
Abstract: We show how to formulate the algebraic nested Bethe ansatz for RTT algebras with an R-matrix of the sp(4) type. We obtain the Bethe vectors and Bethe conditions for any highest-weight representation of these RTT algebras.
Keywords: RTT algebra, nested Bethe ansatz.
Received: 10.12.2017
Revised: 17.01.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 1, Pages 1–16
DOI: https://doi.org/10.1134/S004057791901001X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Č. Burdík, O. Navrátil, “Nested Bethe ansatz for the RTT algebra of sp(4) type”, TMF, 198:1 (2019), 3–18; Theoret. and Math. Phys., 198:1 (2019), 1–16
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9518
  • https://doi.org/10.4213/tmf9518
  • https://www.mathnet.ru/eng/tmf/v198/i1/p3
    • This publication is cited in the following 7 articles:
    1. Čestmír Burdík, Ondřej Navrátil, Springer Proceedings in Mathematics & Statistics, 473, Lie Theory and Its Applications in Physics, 2025, 263  crossref
    2. Č. Burdík, O. Navrátil, “Trace formula for the $RTT$-algebra of $sp(4)$ type”, Theoret. and Math. Phys., 213:1 (2022), 1395–1405  mathnet  crossref  crossref  mathscinet  adsnasa
    3. Č. Burdík, O. Navrátil, “Nested Bethe ansatz for RTT–algebra $\mathcal{A}_n$”, Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics & Statistics, 396, 2022, 325  crossref
    4. C. Burdik, O. Navratil, “Nested Bethe ansatz for rtt-algebra ofu(q)(sp(4)) type”, Phys. Part. Nuclei Lett., 17:5 (2020), 789–793  crossref  mathscinet  isi
    5. D. Karakhanyan, “Spinor representations of orthogonal and symplectic yangians”, Phys. Part. Nuclei Lett., 17:5 (2020), 794–802  crossref  mathscinet  isi
    6. D. Karakhanyan, R. Kirschner, “Spinorial R operator and algebraic Bethe ansatz”, Nucl. Phys. B, 951 (2020), 114905  crossref  mathscinet  isi
    7. Č. Burdík, O. Navrátil, Springer Proceedings in Mathematics & Statistics, 335, Lie Theory and Its Applications in Physics, 2020, 319  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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