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Twelve-dimensional effective action and T T -duality

2014/09/30 by Kang-Sin Choi
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Dimension (graph theory) #Dimensional reduction #Duality (order theory) #Effective action #Field theory (psychology) #Geometry #Higher-dimensional supergravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1140/epjc/s10052-015-3423-8

5 pages, xy

arxiv created 2014/11/07 · openalex publication_date 2015/05/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a 12-dimensional supergravity action which describes low-energy dynamics of F -theory. Dimensional reduction leads the theory to become 11-dimensional, IIA, and IIB supergravities. Self-duality of the four-form field in IIB supergravity is understood. It is necessary to abandon 12-dimensional Poincaré symmetry by making one dimension compact, which is to be decompactified in some region of parameter space, such that the physical degrees of freedom are the same as those of 11-dimensional supergravity. This makes T -duality explicit as a relation between different compactification schemes.

Citations