30 citations · 64 across the 7 of their papers we have counts for
7 papers
Polarization Tensors for the fuzzy Grassmannians and Grassmannian harmonics on
Idrish Huet, Sean Murray
We explicitly construct the eigenfunctions of the Laplacian for the fuzzy Grassmannian spaces . We calculate the spectrum and find it be a truncation of the continuum c…
Noncommutative Spherically Symmetric Spaces
Sean Murray, Jan Govaerts
We examine some noncommutative spherically symmetric spaces in three space dimensions. A generalization of Snyder's noncommutative (Euclidean) space allows the inclusion of the gen…
Graviton confinement inside hypermonopoles of any dimension
Sean Murray, Christophe Ringeval, Simone Zonetti
We show the generic existence of metastable massive gravitons in the four-dimensional core of self-gravitating hypermonopoles in any number of infinite-volume extra-dimensions. Con…
Noncommuting Coordinates and Magnetic Monopoles
Jan Govaerts, Sean Murray
The appearance of noncommuting spatial coordinates is studied in quantum systems containing a magnetic monopole and under the influence of a radial potential. We derive expressions…
A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
Brian P. Dolan, Idrish Huet, Sean Murray +1
We present a universal Dirac operator for noncommutative spin and spin^c bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are…
Quantization of Flag Manifolds and their Supersymmetric Extensions
Sean Murray, Christian Saemann
We first review the description of flag manifolds in terms of Pluecker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functi…