Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
| dc.contributor.author | Nastase, H. | |
| dc.contributor.author | Papageorgakis, C. | |
| dc.date.accessioned | 2019-02-09T09:39:46Z | |
| dc.date.available | 2019-02-09T09:39:46Z | |
| dc.date.issued | 2010 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. It is a pleasure to thank Sanjaye Ramgoolam for many comments, discussions and collaboration in [9]. CP is supported by the STFC grant ST/G000395/1. | uk_UA |
| dc.identifier.citation | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors / H. Nastase, C. Papageorgakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81T75; 81T30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.058 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/146360 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | uk_UA |
| dc.title | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors | uk_UA |
| dc.type | Article | uk_UA |
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