2002/02/28 by Pierre-Yves Casteill
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Equivalence (formal languages) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homogeneous #Isometry (Riemannian geometry) #Mathematical physics #Mathematics #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Subclass #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1016/s0370-2693(02)02422-x
published as Phys.Lett. B543 (2002) 241-248 · 14 pages
arxiv created 2002/07/30 · openalex publication_date 2002/09/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The quantum equivalence between σ-models and their non-Abelian T-dualised partners is examined for a large class of four dimensional non-homogeneous and quasi-Einstein metrics with an isometry group SU(2)×U(1). We prove that the one-loop renormalisability of the initial torsionless σ-models is equivalent to the one-loop renormalisability of the T-dualised torsionful model. For a subclass of Kähler original metrics, the dual partners are still Kähler (with torsion).