Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 058, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.058 (Mi sigma515) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors

Horatiu Nastasea, Constantinos Papageorgakisb

a Instituto de Física Teórica, UNESP—Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II, Sao Paulo 01140-070, SP, Brazil
b Department of Mathematics, King’s College London, The Strand, London WC2R 2LS, UK
Full-text PDF (414 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2010.058
Abstract: We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the ‘deconstructed’ (higher dimensional) field theory.
Keywords: noncommutative geometry; fuzzy sphere; field theory.
Received: March 26, 2010; in final form July 9, 2010; Published online July 20, 2010
Bibliographic databases:
Document Type: Article
MSC: 81T75; 81T30
Language: English
Citation: Horatiu Nastase, Constantinos Papageorgakis, “Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors”, SIGMA, 6 (2010), 058, 28 pp.
Citation in format AMSBIB
\Bibitem{NasPap10}
\by Horatiu Nastase, Constantinos Papageorgakis
\paper Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
\jour SIGMA
\yr 2010
\vol 6
\papernumber 058
\totalpages 28
\mathnet{http://mi.mathnet.ru/sigma515}
\crossref{https://doi.org/10.3842/SIGMA.2010.058}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2725025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000280763100004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896064083}
Linking options:
  • https://www.mathnet.ru/eng/sigma515
  • https://www.mathnet.ru/eng/sigma/v6/p58
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:414
    Full-text PDF :41
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024