Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-05
JHEP 0404 (2004) 058
Physics
High Energy Physics
High Energy Physics - Theory
28 pages
Scientific paper
10.1088/1126-6708/2004/04/058
In matrix models, higher dimensional D-branes are obtained by imposing a noncommutative relation to coordinates of lower dimensional D-branes. On the other hand, a dual description of this noncommutative space is provided by higher dimensional D-branes with gauge fields. Fuzzy spheres can appear as a configuration of lower dimensional D-branes in a constant R-R field strength background. In this paper, we consider a dual description of higher dimensional fuzzy spheres by introducing nonabelian gauge fields on higher dimensional spherical D-branes. By using the Born-Infeld action, we show that a fuzzy $2k$-sphere and spherical D$2k$-branes with a nonabelian gauge field whose Chern character is nontrivial are the same objects when $n$ is large. We discuss a relationship between the noncommutative geometry and nonabelian gauge fields. Nonabelian gauge fields are represented by noncommutative matrices including the coordinate dependence. A similarity to the quantum Hall system is also studied.
No associations
LandOfFree
Nonabelian gauge field and dual description of fuzzy sphere 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 Nonabelian gauge field and dual description of fuzzy sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonabelian gauge field and dual description of fuzzy sphere will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-318624