𝒩 = 4 gauged supergravity from duality-twist compactifications of string theory

Reid-Edwards, R. A.; Spanjaard, B

Abstract

We investigate the lifting of half-maximal four-dimensional gauged supergravities to compactifications of string theory. It is shown that a class of such supergravities can arise from compactifications of IIA string theory on manifolds of SU(2)-structure which may be thought of as K3 fibrations over T2. Examples of these SU(2)-structure backgrounds, as smooth K3 bundles and as compactifications with H-flux, are given and we also find evidence for a class of non-geometric, Mirror-fold backgrounds. By applying the duality between IIA string theory on K3 and Heterotic string theory on T4 fibrewise, we argue that these SU(2)-structure backgrounds are dual to Heterotic compactifications on a class T4 fibrations over T2. Examples of these fibrations as twisted tori, H-flux and T-fold compactifications are given. We also construct a new set of backgrounds, particular to Heterotic string theory, which includes a previously unknown class of Heterotic T-folds. A sigma model description of these backgrounds, from the Heterotic perspective, is presented in which we generalize the Bosonic doubled formalism to Heterotic string theory.

Citation

Reid-Edwards, R. A., & Spanjaard, B. (2008). 𝒩 = 4 gauged supergravity from duality-twist compactifications of string theory. Journal of High Energy Physics, 2008(12), Article 052. https://doi.org/10.1088/1126-6708/2008/12/052

• Journal Article Type: Article
• Acceptance Date: Nov 26, 2008
• Online Publication Date: Dec 12, 2008
• Publication Date: Dec 1, 2008
• Deposit Date: Jul 13, 2018
• Publicly Available Date: Jul 23, 2018
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2008
• Issue: 12
• Article Number: 052
• DOI: https://doi.org/10.1088/1126-6708/2008/12/052
• Public URL: https://hull-repository.worktribe.com/output/926487
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2008/12/052/meta