From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background

Details From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background

1998-05-26

arxiv.org/abs/hep-th/9805173v2

Phys.Rev. D58 (1998) 126002

Physics

High Energy Physics

High Energy Physics - Theory

24 pages including 4 postscript figures. Enlarged version including a section on string solutions in 2+1 black hole background

Scientific paper

10.1103/PhysRevD.58.126002

It has been known for some time that the SL(2,R) WZWN model reduces to Liouville theory. Here we give a direct and physical derivation of this result based on the classical string equations of motion and the proper string size. This allows us to extract precisely the physical effects of the metric and antisymmetric tensor, respectively, on the {\it exact} string dynamics in the SL(2,R) background. The general solution to the proper string size is also found. We show that the antisymmetric tensor (corresponding to conformal invariance) generally gives rise to repulsion, and it precisely cancels the dominant attractive term arising from the metric. Both the sinh-Gordon and the cosh-Gordon sectors of the string dynamics in non-conformally invariant AdS spacetime reduce here to the Liouville equation (with different signs of the potential), while the original Liouville sector reduces to the free wave equation. Only the very large classical string size is affected by the torsion. Medium and small size string behaviours are unchanged. We also find illustrative classes of string solutions in the SL(2,R) background: dynamical closed as well as stationary open spiralling strings, for which the effect of torsion is somewhat like the effect of rotation in the metric. Similarly, the string solutions in the 2+1 BH-AdS background with torsion and angular momentum are fully analyzed.

Affiliated with

Also associated with

No associations

Rating

From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background 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 From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-113824