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Supersymmetric geometries of IIA supergravity III

Ulf Gran (Institutionen för fysik, Teoretisk fysik (Chalmers)) ; George Papadopoulos ; Christian von Schultz (Institutionen för fysik, Teoretisk fysik (Chalmers))
(2016)
[Preprint]

We find that (massive) IIA backgrounds that admit a G₂⋉ℝ⁸ invariant Killing spinor must exhibit a null Killing vector field which leaves the Killing spinor invariant and that the rotation of the Killing vector field satisfies a certain 𝔤₂ instanton condition. This result together with those in [4] and [5] complete the classification of geometries of all (massive) IIA backgrounds that preserve one supersymmetry. We also explore the geometry of a class of backgrounds which admit a G₂⋉ℝ⁸ invariant Killing spinor and where in addition an appropriate 1-form bilinear vanishes. In all cases, we express the fluxes of the theory in terms of the geometry.

Nyckelord: Supergravity, Supersymmetry, Flux compactifications



Denna post skapades 2016-04-26. Senast ändrad 2016-04-28.
CPL Pubid: 235216

 

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Institutioner (Chalmers)

Institutionen för fysik, Teoretisk fysik (Chalmers)

Ämnesområden

Matematisk fysik

Chalmers infrastruktur

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Supersymmetric Geometries in Type IIA Supergravity