Generalised structures for N = 1 N=1 AdS backgrounds

2015/04/09 by André Coimbra, Charles Strickland‐Constable, Charles Strickland-Constable
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Singlet state #Spinor #Theoretical physics #Torsion (gastropod) #Type (biology) #hep-th #math.DG

paper · pdf · doi:10.1007/jhep11(2016)092

12 pages

arxiv created 2015/04/09 · openalex created_date 2016/06/24 · openalex publication_date 2016/11/01 · arxiv updated 2016/12/21 · openalex updated_date 2026/08/05

Abstract

We expand upon a claim made in a recent paper [ arXiv:1411.5721 ] 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)× ℝ⁺ generalised geometry. Namely, they are spaces admitting a generalised G-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.

Citations

• Supersymmetric Backgrounds and Generalised Special Holonomy
• Supersymmetries and their representations
• Supersymmetric AdS(4) compactifications of IIA supergravity
• AdS6 solutions of type II supergravity
• Supersymmetric AdS 5 solutions of type IIB supergravity
• Gravity duals to deformed SYM theories and generalized complex geometry
• The Large-N Limit of Superconformal Field Theories and Supergravity
• The large N limit of superconformal field theories and supergravity