We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy
sphere. We use a novel algorithm which strongly reduces the correlation problems in the …

The critical properties of the real ϕ 4 scalar field theory are studied numerically on the fuzzy
sphere. The fuzzy sphere is a finite matrix (non-commutative) approximation of the algebra …

We investigate the geometric interpretation of quantized Nambu–Poisson structures in terms
of noncommutative geometries. We describe an extension of the usual axioms of …

We explore the geometric implications of introducing a spectral cut-off on compact
Riemannian manifolds. This is naturally phrased in the framework of non-commutative …

We analyse the fluctuations of the ground-state/funnel solutions proposed to describe M2-
M5 systems in the level-k mass-deformed/pure Chern-Simons-matter ABJM theory of …

In this study, we attempt to construct fuzzy circles in a fuzzy geometrical plane. We provide a
comprehensive study where we find a fuzzy number with a predetermined fuzzy distance …

Random noncommutative geometry can be seen as a Euclidean path-integral quantization
approach to the theory defined by the Spectral Action in noncommutative geometry (NCG) …

Review of M(atrix)-Theory, Type IIB Matrix Model and Matrix String Theory arXiv:1708.00734v2
[hep-th] 11 Nov 2018 Page 1 Review of M(atrix)-Theory, Type IIB Matrix Model and Matrix …

In this paper, we investigate three different methods to construct a fuzzy sphere. These
methods depend on the entities available to form a fuzzy sphere. In the first method, we …

We generalise the construction of fuzzy Bbb C Bbb PN in a manner that allows us to access
all noncommutative equivariant complex vector bundles over this space. We give a …