2013/07/23 by Nirmalendu Acharyya, Sachindeo Vaidya
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebra over a field #Artificial intelligence #Base (topology) #Black Holes and Theoretical Physics #Computer science #Conifold #Construct (python library) #Discretization #Fuzzy logic #Gauge theory #Geometry and complex manifolds #Magnetic monopole #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0217751x14500067
published as International Journal of Modern Physics A Vol. 29, No. 01 (2014)
arxiv created 2013/07/23 · openalex publication_date 2014/01/08 · arxiv updated 2014/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we construct the fuzzy (finite-dimensional) analogs of the conifold Y 6 and its base X 5 . We show that fuzzy X 5 is (the analog of) a principal U(1) bundle over fuzzy spheres [Formula: see text] and explicitly construct the associated monopole bundles. In particular, our construction provides an explicit discretization of the spaces T κ, κ and T κ, 0 .