Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3

Details Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3 Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3

2008-12-18

arxiv.org/abs/0812.3507v4

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 24 pages, action added, minor corrections

Scientific paper

We investigate the coordinate dependence of noncommutative theory by studying the solutions of noncommutative $U(1,1)\times U(1,1)$ Chern-Simons theory on $AdS_3$ in the polar and rectangular coordinates. We assume that only the space coordinates are noncommuting. The two coordinate systems are equivalent only up to first order in the noncommutativity parameter $\theta$. We investigate the effect of this non-exact equivalence between the two coordinate systems in two cases, a conical solution and a BTZ black hole solution, using the Seiberg-Witten map. In each case, the noncommutative solutions in the two coordinate systems obtained from the corresponding same commutative solution turn out to be different even in the first order in $\theta$.

Affiliated with

Also associated with

No associations

Rating

Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3 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 Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173083