Geometry and supersymmetry of heterotic warped flux AdS backgrounds

S. Beck, J. Gutowski*, Georgios Papadopoulos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Abstract: We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are no AdS<inf>n</inf> backgrounds with n ≠ 3. Moreover the warp factor of AdS<inf>3</inf> backgrounds is constant, the geometry is a product AdS<inf>3</inf> × M<sup>7</sup> and such solutions preserve, 2, 4, 6 and 8 supersymmetries. The geometry of M<sup>7</sup> has been specified in all cases. For 2 supersymmetries, it has been found that M<sup>7</sup> admits a suitably restricted G<inf>2</inf> structure. For 4 supersymmetries, M<sup>7</sup> has an SU(3) structure and can be described locally as a circle fibration over a 6-dimensional KT manifold. For 6 and 8 supersymmetries, M<sup>7</sup> has an SU(2) structure and can be described locally as a S<sup>3</sup> fibration over a 4-dimensional manifold which either has an anti-self dual Weyl tensor or a hyper-Kähler structure, respectively. We also demonstrate a new Lichnerowicz type theorem in the presence of α′ corrections.

Original languageEnglish
Article number152
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 8 Jul 2015


  • AdS-CFT Correspondence
  • Supergravity Models


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