Higher Dimensional Geometries from Matrix Brane constructions

Details Higher Dimensional Geometries from Matrix Brane constructions Higher Dimensional Geometries from Matrix Brane constructions

2001-11-29

arxiv.org/abs/hep-th/0111278v2

Nucl.Phys. B627 (2002) 266-288

Physics

High Energy Physics

High Energy Physics - Theory

28 pages (Harvmac big) ; version 2 : minor typos fixed and ref. added

Scientific paper

10.1016/S0550-3213(02)00072-X

Matrix descriptions of even dimensional fuzzy spherical branes $S^{2k} $ in Matrix Theory and other contexts in Type II superstring theory reveal, in the large $N$ limit, higher dimensional geometries $SO(2k+1)/U(k)$, which have an interesting spectrum of $SO(2k+1)$ harmonics and can be up to 20 dimensional, while the spheres are restricted to be of dimension less than 10. In the case $k=2$, the matrix description has two dual field theory formulations. One involves a field theory living on the non-commutative coset $SO(5)/U(2)$ which is a fuzzy $S^2$ fibre bundle over a fuzzy $S^4$. In the other, there is a U(n) gauge theory on a fuzzy $S^4$ with $ {\cal O}(n^3)$ instantons. The two descriptions can be related by exploiting the usual relation between the fuzzy two-sphere and U(n) Lie algebra. We discuss the analogous phenomena in the higher dimensional cases, developing a relation between fuzzy $SO(2k)/U(k)$ cosets and unitary Lie algebras.

Affiliated with

Also associated with

No associations

Rating

Higher Dimensional Geometries from Matrix Brane constructions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Higher Dimensional Geometries from Matrix Brane constructions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Dimensional Geometries from Matrix Brane constructions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577790