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          Institute: MPI für Physik     Collection: YB 2016     Display Documents

ID: 716268.0, MPI für Physik / YB 2016
Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications
Authors:Bosque, Pascal du; Hassler, Falk; Lust, Dieter
Date of Publication (YYYY-MM-DD):2016
Title of Journal:Journal of High Energy Physics
Journal Abbrev.:JHEP
Issue / Number:2
Start Page:1
End Page:41
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:A flux formulation of Double Field Theory on group manifold is derived and applied to study generalized Scherk-Schwarz compactifications, which give rise to a bosonic subsector of half-maximal, electrically gauged supergravities. In contrast to the flux formulation of original DFT, the covariant fluxes split into a fluctuation and a background part. The latter is connected to a 2D-dimensional, pseudo Riemannian manifold, which is isomorphic to a Lie group embedded into O(D,D). All fields and parameters of generalized diffeomorphisms are supported on this manifold, whose metric is spanned by the background vielbein EAI∈ GL(2D). This vielbein takes the role of the twist in conventional generalized Scherk-Schwarz compactifications. By doing so, it solves the long standing problem of constructing an appropriate twist for each solution of the embedding tensor. Using the geometric structure, absent in original DFT, EAI is identified with the left invariant Maurer-Cartan form on the group manifold, in the same way as it is done in geometric Scherk-Schwarz reductions. We show in detail how the Maurer-Cartan form for semisimple and solvable Lie groups is constructed starting from the Lie algebra. For all compact embeddings in O(3,3), we calculate EAI.
Classification / Thesaurus:Theoretical Physics
Comment of the Author/Creator:40 pages, no figures
External Publication Status:published
Document Type:Article
Communicated by:MPI für Physik
Affiliations:MPI für Physik
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