Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-06
JHEP08(2011)112
Physics
High Energy Physics
High Energy Physics - Theory
32 pages
Scientific paper
10.1007/JHEP08(2011)112
We extend our investigations of the open string propagation in the weakly curved background to the case when Kalb-Ramond field, beside the infinitesimal term linear in coordinate $B_{\mu\nu\rho}x^\rho$, contains the constant term $b_{\mu\nu}\neq 0$. In two previously investigated cases, for the flat background ($b_{\mu\nu}\neq 0$ and $B_{\mu\nu\rho}=0$) and the weakly curved one ($b_{\mu\nu}= 0$ and $B_{\mu\nu\rho}\neq 0$) the effective metric is constant and the effective Kalb-Ramond field is zero. In the present article ($b_{\mu\nu}\neq 0$ and $B_{\mu\nu\rho}\neq 0$) the effective metric is coordinate dependent and there exists non-trivial effective Kalb-Ramond field. It depends on the $\sigma$-integral of the effective momenta $P_\mu(\sigma)=\int_{0}^{\sigma}d\eta p_\mu(\eta)$, which is in fact T-dual of the effective coordinate, $P_\mu=\kappa g_{\mu\nu}{\tilde{q}}^\nu$. Beside the standard coordinate dependent term $\theta^{\mu\nu}(q)$, in the non-commutativity parameter, which is nontrivial only on the string end-points, there are additional $P_\mu$ (or ${\tilde{q}}^\mu$) dependent terms which are nontrivial both at the string endpoints and at the string interior. The additional terms are infinitesimally small. The part of one of these terms has been obtained in Ref. \cite{HY} and the others are our improvements.
Davidović Ljubica
Sazdović Branislav
No associations
LandOfFree
Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well 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 Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389991