Abstract
Poisson-Lie duality is a generalization of Abelian and non-Abelian T duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e., at the (super) gravity level. We show that this fact extends to the next order in α^{'} (two loops in σ-model perturbation theory) provided that the map is corrected. The α^{'} correction to the map is induced by the anomalous Lorentz transformations of the fields that are necessary to go from a doubled O(D,D)-covariant formulation to the usual (super)gravity description.
Highlights
Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Poisson-Lie duality is a generalization of Abelian and non-Abelian T duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e., at the gravity level
Introduction.—The notion of T duality [1,2] is central in string theory
Summary
Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain. Poisson-Lie duality is a generalization of Abelian and non-Abelian T duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e., at the (super) gravity level. We show that this fact extends to the order in α0 (two loops in σ-model perturbation theory) provided that the map is corrected. Unlike in the Abelian case, non-Abelian T duality (NATD) does not generically preserve the isometries of the background, and it is not obvious how to invert the transformation This problem was overcome by Klimčík and Ševera in [4,5]. This is achieved by doubling the dimension of the physical manifold, and by imposing a “section condition” which effectively eliminates the dependence on half of the coordinates, giving the correct dimension in the end
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
