Generalized structures of ten-dimensional supersymmetric solutions

Abstract

Four-dimensional supersymmetric type II string theory vacua can be described elegantly in terms of pure spinors on the generalized tangent bundle T+T*. In this paper, we apply the same techniques to any ten-dimensional supersymmetric solution (not necessarily involving a factor with an AdS4 or Minkowski4 metric) in type II theories. We find a system of differential equations in terms of a form describing a "generalized ISpin(7) structure". This system is equivalent to unbroken supersymmetry, in both IIA and IIB. One of the equations reproduces in one fell swoop all the pure spinors equations for four-dimensional vacua.

43 pages

References in corpus (4)

• Black Hole Attractors and Pure Spinors
• Domain walls from ten dimensions
• Generalized geometry, calibrations and supersymmetry in diverse dimensions
• Invariant Killing spinors in 11D and type II supergravities

Cited by in corpus (27)

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• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• Non-BPS Bubbling Geometries in AdS${}_3$
• Generalized geometry of two-dimensional vacua
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
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• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• N = 2 supersymmetric AdS4 solutions of type IIB supergravity
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• Pure spinor equations to lift gauged supergravity
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Mink${}_3\times S^3$ solutions of type II supergravity
• Timelike structures of ten-dimensional supersymmetry
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• Black Holes and Fourfolds
• Generalized complex geometry of pure backgrounds in ten and eleven dimensions
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• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality