Consistent Pauli reduction on group manifolds

Abstract

We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that the NS-NS sector of supergravity (and more general the bosonic string) allows for a consistent Pauli reduction on any d-dimensional group manifold G, keeping the full set of gauge bosons of the G x G isometry group of the bi-invariant metric on G. The main tool of the construction is a particular generalised Scherk-Schwarz reduction ansatz in double field theory which we explicitly construct in terms of the group's Killing vectors. Examples include the consistent reduction from ten dimensions on $S^3\times S^3$ and on similar product spaces. The construction is another example of globally geometric non-toroidal compactifications inducing non-geometric fluxes.

16 pages

References in corpus (5)

• Double Field Theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Duality orbits of non-geometric fluxes
• Dualising consistent IIA / IIB truncations

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• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Electric-magnetic deformations of D=4 gauged supergravities
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Double Field Theory at SL(2) angles
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• Generalized Parallelizable Spaces from Exceptional Field Theory
• Perturbative Double Field Theory on General Backgrounds
• Consistent truncations to 3-dimensional supergravity
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Consistent truncations from the geometry of sphere bundles
• Double Field Theory and Pseudo-Supersymmetry
• Flux Backgrounds and Exceptional Generalised Geometry
• On Pauli Reductions of Supergravities in Six and Five Dimensions