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Generalized structures of ten-dimensional supersymmetric solutions
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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.
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Cited by 3 Pith papers
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Ten-dimensional localization
Equivariantly closed polyforms for type II Page fluxes and actions enable direct 10D localization of on-shell actions and flux quantization for minimally supersymmetric backgrounds.
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Circle compactifications of Minkowski$_D$ solutions, flux vacua and solitonic branes
A 'supersymmetry generating' circle compactification technique for type II supergravity is derived and applied to construct new Minkowski flux vacua and generalized solitonic branes.
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G-structures for AdS$_2$ solutions
A G-structure framework classifies supersymmetric AdS2 solutions of Type II supergravity, yielding two new families: massive IIA with a weak G2 manifold and IIB with AdS2 x S2 x CY2 x Sigma2.
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