On higher-dimensional fuzzy spherical branes Original Research Article

Matrix descriptions of higher-dimensional spherical branes are investigated. It is known that a fuzzy 2k-sphere is described by the coset space SO(2k+1)/U(k) and has some extra dimensions. It is shown that a fuzzy 2k-sphere is comprised of nk(k−1)2 spherical D(2k−1)-branes and has a fuzzy 2(k−1)-sphere at each point. We can understand the relationship between these two viewpoints by the dielectric effect. Contraction of the algebra is also discussed.