Consistent Pauli reduction on group manifolds

TL;DR

This paper proves that supergravity's NS-NS sector can be consistently reduced on any group manifold G, preserving the full gauge symmetry, using a generalized Scherk-Schwarz ansatz in double field theory, with explicit examples like reductions on $S^3 imes S^3$.

Contribution

It demonstrates a general proof of consistent Pauli reductions on group manifolds using double field theory, extending previous conjectures and providing explicit construction methods.

Findings

Proof of the conjecture for supergravity reductions on group manifolds.

Explicit construction of the reduction ansatz in double field theory.

Examples include reductions on $S^3 imes S^3$ and similar spaces.

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.