2002/04/30 by A. P. Balachandran, Aiyalam P Balachandran, S. Kurkcuoglu +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Algebraic structures and combinatorial models #Commutative property #Fuzzy logic #Fuzzy sphere #Noncommutative and Quantum Gravity Theories #Product (mathematics) #Star (game theory) #Star product #gr-qc #hep-th #math-ph #math.MP #math.QA #quant-ph
paper · pdf · doi:10.1088/1126-6708/2002/07/056
published as JHEP 0207 (2002) 056 · 21 pages, LaTeX, new material added, minor errors corrected
arxiv created 2002/05/16 · openalex publication_date 2002/07/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The fuzzy supersphere SF(2,2) is a finite-dimensional matrix approximation to the supersphere S(2,2) incorporating supersymmetry exactly. Here the star-product of functions on SF(2,2) is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to S(2,2) and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our star-product completes our work.