2003/11/30 by S. Kürkçüoǧlu, S. Kurkcuoglu
Mathematics · Physics and Astronomy · #Algebra over a field #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Fuzzy logic #Interpretation (philosophy) #Materials science #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/03/062
published as JHEP 0403 (2004) 062 · 11 pages, LaTeX, corrected typos
openalex publication_date 2004/03/26 · arxiv created 2004/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note we develop fuzzy versions of the supersymmetric non-linear sigma model on the supersphere S^(2,2). In hep-th/0212133 Bott projectors have been used to obtain the fuzzy CP1 model. Our approach utilizes the use of supersymmetric extensions of these projectors. Here we obtain these (super) -projectors and quantize them in a fashion similar to the one given in hep-th/0212133. We discuss the interpretation of the resulting model as a finite dimensional matrix model.