Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Nastase, H., Papageorgakis, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146360
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 b...