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arXiv · 1510.08926

Consistent Pauli reduction on group manifolds

A. Baguet·C. N. Pope·H. Samtleben
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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.

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A. Baguet, C. N. Pope, H. Samtleben. 2015-10-29. Consistent Pauli reduction on group manifolds. https://doi.org/10.1016/j.physletb.2015.11.062

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