Generalised structures for \( \mathcal{N}=1 \) AdS backgrounds. (English) Zbl 1390.81420
Summary: We expand upon a claim made in a recent paper [the first author et al., Classical Quantum Gravity 33, No. 12, Article ID 125026, 27 p. (2016; Zbl 1342.83346)] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak integrability condition in the language of \( {E}_{d(d)}\times \mathbb R^+\) generalised geometry. Namely, they are spaces admitting a generalised \(G\)-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E50 | Supergravity |
Keywords:
differential and algebraic geometry; flux compactifications; superstring vacua; AdS-CFT correspondenceCitations:
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