Classical solution of a sigma-model in curved background

Abstract

We have solved a sigma-model in curved background using the fact that the Poisson-Lie T-duality can transform the curved background into the flat one. For finding solution of the flat model we have used transformation of coordinates that makes the metric constant. The T-duality transform was then explicitly performed.

7 pages

References in corpus (1)

• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle

Cited by in corpus (4)

• On the Poisson-Lie T-plurality of boundary conditions
• Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality
• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality
• Flat coordinates and dilaton fields for three--dimensional conformal sigma models