Flux compactifications of string theory on twisted tori

Hull, C.M.; Reid-Edwards, R.A.

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.

Citation

Hull, C., & Reid-Edwards, R. (2009). Flux compactifications of string theory on twisted tori. Fortschritte der Physik / Progress of Physics, 57(9), 862-894. https://doi.org/10.1002/prop.200900076

• Journal Article Type: Article
• Acceptance Date: Jul 6, 2009
• Online Publication Date: Jul 20, 2009
• Publication Date: Sep 1, 2009
• Deposit Date: Jul 13, 2018
• Journal: Fortschritte der Physik
• Print ISSN: 0015-8208
• Electronic ISSN: 1521-3978
• Publisher: Wiley-VCH Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 57
• Issue: 9
• Pages: 862-894
• DOI: https://doi.org/10.1002/prop.200900076
• Public URL: https://hull-repository.worktribe.com/output/926557
• Publisher URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200900076