2020/07/31 by Riccardo Borsato, Linus Wulff · 43 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Covariant transformation #Duality (order theory) #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #hep-th
paper · pdf · doi:10.1103/physrevlett.125.201603
published in Physical Review Letters 125(20), 201603 (American Physical Society) · 4 pages, plus 4 pages of supplemental material. 1 figure. Version 2: typos corrected, comments and references added. Title changed following a request by the journal's editor. Published version
arxiv created 2020/09/30 · openalex created_date 2020/10/08 · openalex publication_date 2020/11/13 · arxiv updated 2020/11/18 · openalex updated_date 2026/08/05
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.