2016
DOI: 10.1155/2016/7292534
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Geometric Algebra Techniques in Flux Compactifications

Abstract: We show how supersymmetry conditions for flux compactifications of supergravity and string theory can be described in terms of a flat subalgebra of the Kähler-Atiyah algebra of the compactification space, a description which has wide-ranging applications. As a motivating example, we consider the most general M-theory compactifications on eight-manifolds down to AdS 3 spaces which preserve N = 2 supersymmetry in 3 dimensions. We also give a brief sketch of the lift of such equations to the cone over the compact… Show more

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Cited by 17 publications
(82 citation statements)
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“…Notice that this relation also gives the twisted (anti)selfdual parts [32] of an inhomogeneous form ω ∈ Ω(M ). The identities:…”
Section: Jhep03(2015)116mentioning
confidence: 99%
See 4 more Smart Citations
“…Notice that this relation also gives the twisted (anti)selfdual parts [32] of an inhomogeneous form ω ∈ Ω(M ). The identities:…”
Section: Jhep03(2015)116mentioning
confidence: 99%
“…Section 2 gives a brief review of the class of compactifications we consider, in order to fix notations and conventions. Section 3 discusses a geometric characterization of Majorana spinors ξ on M which is inspired by the rigorous approach developed in [32][33][34] for the method of bilinears [35], in the case when the spinor ξ is allowed to be chiral at some loci. It also gives the Kähler-Atiyah parameterizations of this spinor which correspond to the approach of [8] and to that of [1] and describes the relevant G-structures using both spinors and idempotents in the Kähler-Atiyah algebra of M .…”
Section: Jhep03(2015)116mentioning
confidence: 99%
See 3 more Smart Citations