Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-26
Phys.Rev.D83:066014,2011
Physics
High Energy Physics
High Energy Physics - Theory
27 pages
Scientific paper
10.1103/PhysRevD.83.066014
Using canonical method we investigate $Dp-$brane world-volume noncommutativity in weakly curved background. The term weakly curved means that in the leading order, the source of non-flatness is infinitesimally small Kalb-Ramond field $B_{\mu\nu}$ linear in coordinate, while the Ricci tensor does not contribute being the infinitesimal of the second order. On the solution of boundary conditions, we find simple expression for the space-time coordinates in terms of the effective coordinates and momenta. This basic relation helped us to prove that noncommutativity appears only on the world-sheet boundary. The noncommutativity parameter has a standard form but with infinitesimally small and coordinate dependent antisymmetric tensor $B_{\mu\nu}$. This result coincides with that obtained on the group manifolds in the limit of the large level $n$ of current algebra. After quantization the algebra of functions on Dp-brane world-volume is represented with the Kontsevich star product instead of the Moyal one in the flat background.
Davidović Lj.
Sazdović Branislav
No associations
LandOfFree
Noncommutativity in weakly curved background by canonical methods 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 Noncommutativity in weakly curved background by canonical methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutativity in weakly curved background by canonical methods will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-32112