2006/07/31 by Ian Ellwood, Akikazu Hashimoto · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Decoupling (probability) #Dual (grammatical number) #Effective field theory #F-theory #Fibered knot #Noncommutative and Quantum Gravity Theories #String (physics) #String theory #Torus #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/12/025
published as JHEP0612:025,2006 · 22 pages, 4 figures, references added
openalex publication_date 2006/12/07 · arxiv created 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the low-energy effective description of non-geometric compactifications constructed by T-dualizing two or three of the directions of a T3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in these geometries and to take an appropriate decoupling limit. In the case of two T-dualities, we find at low energies a non-commutative T2 fibered non-trivially over an S1. In the UV this theory is still decoupled from gravity, but is dual to a little string theory with flavor. For the case of three T-dualities, we do not find a sensible decoupling limit, casting doubt on this geometry as a low-energy effective notion in critical string theory. However, by studying a topological toy model in this background, we find a non-associative geometry similar to one found by Bouwknegt, Hannabuss, and Mathai.