Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 1, Pages 90–101
DOI: https://doi.org/10.4213/tmf8611 (Mi tmf8611) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Jordanian deformation of the open sℓ(2)sℓ(2) Gaudin model

N. Cirilo Antonioa, N. Manoilovichb, Z. Nagyc

a Centro de Análise Funcional e~Aplicações, Instituto Superior Técnico, Universidade Técnica de Lisboa, Lisboa, Portugal
b Grupo de Física Matemática da Universidade de Lisboa, Lisboa, Portugal
c Departamento de Matemática, F. C. T., Universidade do Algarve, Faro, Portugal
Full-text PDF (416 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf8611
Abstract: We derive a deformed sℓ(2) Gaudin model with integrable boundaries. Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrix and generic solutions of the associated reflection equation and the dual reflection equation, we obtain the corresponding inhomogeneous spin-1/2 XXX chain. The semiclassical expansion of the transfer matrix yields the deformed sℓ(2) Gaudin Hamiltonians with boundary terms.
Keywords: exactly solvable model, Gaudin model.
Received: 13.11.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 1, Pages 462–471
DOI: https://doi.org/10.1007/s11232-014-0155-0
Bibliographic databases:
Document Type: Article
MSC: 82B23 81R12
Language: Russian
Citation: N. Cirilo Antonio, N. Manoilovich, Z. Nagy, “Jordanian deformation of the open sℓ(2) Gaudin model”, TMF, 179:1 (2014), 90–101; Theoret. and Math. Phys., 179:1 (2014), 462–471
Citation in format AMSBIB
\Bibitem{CirManNag14}
\by N.~Cirilo Antonio, N.~Manoilovich, Z.~Nagy
\paper Jordanian deformation of the~open $s\ell(2)$ Gaudin model
\jour TMF
\yr 2014
\vol 179
\issue 1
\pages 90--101
\mathnet{http://mi.mathnet.ru/tmf8611}
\crossref{https://doi.org/10.4213/tmf8611}
\zmath{https://zbmath.org/?q=an:1298.81104}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014TMP...179..462A}
\elib{https://elibrary.ru/item.asp?id=21826670}
\transl
\jour Theoret. and Math. Phys.
\yr 2014
\vol 179
\issue 1
\pages 462--471
\crossref{https://doi.org/10.1007/s11232-014-0155-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000337055500006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899920448}
Linking options:
  • https://www.mathnet.ru/eng/tmf8611
  • https://doi.org/10.4213/tmf8611
  • https://www.mathnet.ru/eng/tmf/v179/i1/p90
    • This publication is cited in the following 3 articles:
    1. I. Salom, N. Manojlović, Springer Proceedings in Mathematics & Statistics, 396, Lie Theory and Its Applications in Physics, 2022, 371  crossref
    2. N. Manojlović, I. Salom, “Rational so(3) Gaudin model with general boundary terms”, Nuclear Physics B, 978 (2022), 115747  crossref
    3. Salom I., Manojlovic N., “Bethe States and Knizhnik-Zamolodchikov Equations of the Trigonometric Gaudin Model With Triangular Boundary”, Nucl. Phys. B, 969 (2021), 115462  crossref  mathscinet  isi
    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
    Statistics & downloads:
    Abstract page:492
    Full-text PDF :154
    References:72
    First page:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025