2003/02/28 by H. Fakhri, Ali Imaanpur, A. Imaanpur · 26 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Artificial intelligence #Biology #Computer science #Dirac operator #Fuzzy logic #Genetics #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/03/003
published in Journal of High Energy Physics 2003(03), 003 (Springer Nature) · latex, 16 pages, no figure, added a reference and minor changes
openalex publication_date 2003/03/03 · arxiv created 2003/04/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this article we construct the chirality and Dirac operators on noncommutative AdS2. We also derive the discrete spectrum of the Dirac operator which is important in the study of the spectral triple associated with AdS2. It is shown that the degeneracy of the spectrum present in the commutative AdS2 is lifted in the noncommutative case. The way we construct the chirality operator is suggestive of how to introduce the projector operators of the corresponding projective modules on this space.