2014/08/31 by Erik Plauschinn · 19 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Geometry #Isometry (Riemannian geometry) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Point (geometry) #Pure mathematics #String theory #T-duality #Torus #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2015.02.008
published in Nuclear Physics B 893, 257-286 (Elsevier BV) · 42 pages; v2: references added; v3: published version
openalex publication_date 2015/02/12 · arxiv created 2015/03/25 · arxiv updated 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus. However, the resulting backgrounds turn out to be geometric in nature. To perform the duality transformations, we develop a novel procedure for non-abelian T-duality, which follows a route different compared to the known literature, and which highlights the underlying structure from an alternative point of view.