Open AccessThe Star Product on the Fuzzy Supersphere
Author(s) -
A. P. Balachandran,
S. Kürkçüoǧlu,
Efraı́n Rojas
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/07/056
Subject(s) - star product , fuzzy logic , commutative property , product (mathematics) , limit (mathematics) , pure mathematics , mathematics , matrix (chemical analysis) , supersymmetry , algebra over a field , computer science , mathematical analysis , mathematical physics , geometry , artificial intelligence , materials science , composite material
The fuzzy supersphere $S_F^{(2,2)}$ is a finite-dimensional matrixapproximation to the supersphere $S^{(2,2)}$ incorporating supersymmetryexactly. Here the star-product of functions on $S_F^{(2,2)}$ is obtained byutilizing the OSp(2,1) coherent states. We check its graded commutative limitto $S^{(2,2)}$ and extend it to fuzzy versions of sections of bundles using themethods of [1]. A brief discussion of the geometric structure of ourstar-product completes our work.Comment: 21 pages, LaTeX, new material added, minor errors correcte
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom