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Supersymmetric geometries of IIA supergravity III

  • Ulf Gran
  • George Papadopoulos
  • Christian von Schultz
Open Access
Regular Article - Theoretical Physics
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Abstract

We find that (massive) IIA backgrounds that admit a \( {G}_2\ltimes {\mathbb{R}}^8 \) 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 \( {G}_2\ltimes {\mathbb{R}}^8 \) 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.

Keywords

Supergravity Models Superstring Vacua 
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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Ulf Gran
    • 1
  • George Papadopoulos
    • 2
  • Christian von Schultz
    • 1
  1. 1.Department of Physics, Division for Theoretical PhysicsChalmers University of TechnologyGöteborgSweden
  2. 2.Department of MathematicsKing’s College LondonLondonU.K.

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