2020/05/16 by M. Lotfizadeh, Mehdi Lotfizadeh · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Chirality (physics) #Dirac (video compression format) #Dirac operator #Dirac sea #Fuzzy logic #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Operator (biology) #hep-th
paper · pdf · doi:10.1063/5.0026926
published in Journal of Mathematical Physics 62(1) (American Institute of Physics)
arxiv created 2020/05/16 · openalex created_date 2020/06/19 · openalex publication_date 2021/01/01 · arxiv updated 2021/02/24 · openalex updated_date 2026/08/05
q-deformed fuzzy Dirac and chirality operators on quantum fuzzy four-sphere SqF4 are studied in this article. Using the q-deformed fuzzy Ginsparg–Wilson algebra, the q-deformed fuzzy Dirac and chirality operators in an instanton and no-instanton sector are studied. In addition, gauged Dirac and chirality operators in both cases have also been constructed. It has been shown that in each step, our results have a correct commutative limit in the limit case when q → 1 and the noncommutative parameter l tends to infinity.