Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality

Details Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality

2006-08-10

arxiv.org/abs/hep-th/0608069v1

Int.J.Mod.Phys.A22:1039-1052,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1142/S0217751X07034933

Classical equations of motion for three-dimensional sigma-models in curved background are solved by a transformation that follows from the Poisson-Lie T-plurality and transform them into the equations in the flat background. Transformations of coordinates that make the metric constant are found and used for solving the flat model. The Poisson-Lie transformation is explicitly performed by solving the PDE's for auxiliary functions and finding the relevant transformation of coordinates in the Drinfel'd double. String conditions for the solutions are preserved by the Poisson-Lie transformations. Therefore we are able to specify the type of sigma-model solutions that solve also equations of motion of three dimensional relativistic strings in the curved backgrounds. Simple examples are given.

Affiliated with

Also associated with

No associations

Rating

Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality 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 Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311637