Consistent \(S^2\) Pauli reduction of six-dimensional chiral gauged Einstein--Maxwell supergravity

DOI10.1016/J.NUCLPHYSB.2004.07.016zbMATH Open1236.83025arXivhep-th/0307052OpenAlexW1997072186WikidataQ125635905 ScholiaQ125635905MaRDI QIDQ874219

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Publication date: 5 April 2007

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Abstract: Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to admit a (Minkowski)_4 imes S^2 vacuum solution with four-dimensional N=1 supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2) Yang-Mills vector multiplet, and a scalar multiplet. In this paper it is shown that, remarkably, the six-dimensional theory admits a fully consistent dimensional reduction on the 2-sphere, implying that all solutions of the four-dimensional N=1 supergravity can be lifted back to solutions in six dimensions. This provides a striking realisation of the idea, first proposed by Pauli, of obtaining a theory that includes Yang-Mills fields by dimensional reduction on a coset space. We address the cosmological constant problem within this model, and find that if the Kaluza-Klein mass scale is taken to be 10^{-3} eV (as has recently been suggested) then four-dimensional gauge-coupling constants for bulk fields must be of the order of 10^{-31}. We also suggest a link between a modification of the model with 3-branes, and a five-dimensional model based on an S^1/Z_2 orbifold.

Full work available at URL: https://arxiv.org/abs/hep-th/0307052

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