2005/03/14 by C.M. Hull, C. M. Hull, R.A. Reid‐Edwards +1 · 66 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Dimensional reduction #Duality (order theory) #Extra dimensions #Gauge theory #Manifold (fluid mechanics) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #String theory #Symmetry group #Torus #hep-th
paper · pdf · doi:10.1002/prop.200900076
published in Fortschritte der Physik 57(9), 862-894 (Wiley) · 43 pages
arxiv created 2005/03/14 · openalex publication_date 2009/07/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract Global aspects of Scherk‐Schwarz dimensional reduction are discussed and it is shown that it can usually be viewed as arising from a compactification on the compact space obtained by identifying a (possibly non‐compact) group manifold 𝒢 under a discrete subgroup Γ, followed by a truncation. This allows a generalisation of Scherk‐Schwarz reductions to string theory or M‐theory as compactifications on 𝒢/Γ, but only in those cases in which there is a suitable discrete subgroup of 𝒢. We analyse such compactifications with flux and investigate the gauge symmetry and its spontaneous breaking. We discuss the covariance under O(d,d), where d is the dimension of the group 𝒢, and the relation to reductions with duality twists. The compactified theories promote a subgroup of the O(d,d) that would arise from a toroidal reduction to a gauge symmetry, and we discuss the interplay between the gauge symmetry and the O(d,d,ℤ T‐duality group, suggesting the role that T‐duality should play in such compactifications.