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Supersymmetric geometries of IIA supergravity III

A preprint version of the article is available at arXiv.

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.

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Correspondence to Christian von Schultz.

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ArXiv ePrint: 1602.07934

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Gran, U., Papadopoulos, G. & von Schultz, C. Supersymmetric geometries of IIA supergravity III. J. High Energ. Phys. 2016, 45 (2016). https://doi.org/10.1007/JHEP06(2016)045

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Keywords

  • Supergravity Models
  • Superstring Vacua