Flat coordinates and dilaton fields for three--dimensional conformal sigma models

Abstract

Riemannian coordinates for flat metrics corresponding to three--dimensional conformal Poisson--Lie T--dualizable sigma models are found by solving partial differential equations that follow from the transformations of the connection components. They are then used for finding general forms of the dilaton fields satisfying the vanishing beta equations of the sigma models.

16 pages, no figures

References in corpus (2)

• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
• Classical solution of a sigma-model in curved background

Cited by in corpus (1)

• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality