Quantum Gravity and Riemannian Geometry on the Fuzzy Sphere

Evelyn Lira Torres, Shahn Majid

We study the quantum geometry of the fuzzy sphere defined as the angular momentum algebra $[x_i,x_j]=2ı{\lambda }_p{\epsilon }_{ijk}{x}_k$ modulo setting ${\sum }_i{x}_i^2$ to a constant, using a rec…