Fuzzy Complex Quadrics and Spheres

Interaction between two Fuzzy Spheres

We have calculated interactions between two fuzzy spheres in 3 dimension. It depends on the distance r between the spheres and the radii ρ1, ρ2. There is no force between the spheres when they are far from each other (long distance case). We have also studied the interaction for r = 0 case. We find that an attractive force exists between two fuzzy sphere surfaces.

Enhançons, Fuzzy Spheres and Multi–Monopoles

We study the “enhançon”, a spherical hypersurface apparently made of D–branes, which arises in string theory studies of large N SU(N) pure gauge theories with eight supercharges. A relation to charge N BPS multi–monopoles is exploited to uncover many of its detailed properties. It is simply a spherical slice through an Atiyah–Hitchin submanifold of the charge N BPS monopole moduli space. In the...

Matrix Strings and Shrinking Fuzzy Spheres

We find pp wave solutions in string theory with null-like linear dilatons. These provide toy models of big bang cosmologies. We formulate Matrix String Theory in these backgrounds. Near the big bang “singularity”, the string theory becomes strongly coupled but the Yang-Mills description of the matrix string is weakly coupled. The presence of a second length scale allows us to focus on a specifi...

On fuzzy spheres and (M)atrix actions

In this note we compare even and odd fuzzy sphere constructions, their dimensional reductions and possible (M)atrix actions having them as solutions. We speculate on how the fuzzy 5-sphere might appear as a solution to the pp wave (M)atrix model.

Complex fuzzy linear systems