Double Field Theory at SL(2) angles

Abstract

An extended field theory is presented that captures the full SL(2) x O(6,6+n) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two inequivalent solutions correspond to minimal D=10 supergravity and chiral half-maximal D=6 supergravity, respectively coupled to vector and tensor multiplets. The relation with O(6,6+n) (heterotic) double field theory is thoroughly discussed. Non-Abelian interactions as well as background fluxes are captured by a deformation of the generalised diffeomorphisms. Finally, making use of the SL(2) duality structure, it is shown how to generate gaugings with non-trivial de Roo-Wagemans angles via generalised Scherk-Schwarz ansaetze. Such gaugings allow for moduli stabilisation including the SL(2) dilaton.

53 pages, 1 table

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Cited by in corpus (19)

• The Odd story of ${\alpha }^{\prime }$-corrections
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• Systematics of consistent truncations from generalised geometry
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• E${}_9$ exceptional field theory I. The potential
• E${}_9$ exceptional field theory II. The complete dynamics
• O(d+1,d+1) enhanced double field theory
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• On symmetries and dynamics of exotic supermultiplets
• Exceptional algebroids and type IIB superstrings
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Extended Drinfel'd algebras and non-Abelian duality
• Flux Backgrounds and Exceptional Generalised Geometry
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Half-maximal Extended Drinfel'd Algebras