# Type IIA supergravity and M-theory on manifolds with SU(4) structure

1 Théorie
IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
Abstract : We give the general form of supersymmetric backgrounds with two real supercharges of M-theory and type IIA supergravity (with non-zero Romans mass in general) of the form $\mathbb{R}^{1,d} \times \M_8$, d=1,2, on eight-dimensional manifolds with SU(4) structure. We point out a subtlety in the integrability theorems for low-dimensional supersymmetric compactifications. As a special case we examine Calabi-Yau flux vacua and we show that unbroken supersymmetry does not in general require the four-form flux to be (2,2) or primitive. Our results could be used to construct novel higher-dimensional analogues of the Klebanov-Strassler geometry. In the case of M-theory large-volume Calabi-Yau flux vacua our results are in agreement with partial supersymmetry breaking in three-dimensional N=2 supergravity. Alternatively, the conditions for supersymmetry can be expressed in terms of a real 'superpotential' in accordance with three-dimensional N=1 supergravity. We present explicit examples of M-theory flux vacua on K3 \times K3, which however do not appear to possess F-theory duals with four-dimensional Poincaré invariance.
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Journal articles
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http://hal.in2p3.fr/in2p3-00915566
Contributor : Sylvie Flores <>
Submitted on : Monday, December 9, 2013 - 7:37:47 AM
Last modification on : Monday, June 28, 2021 - 3:56:02 PM

### Citation

D. Prins, D. Tsimpis. Type IIA supergravity and M-theory on manifolds with SU(4) structure. Physical Review D, American Physical Society, 2014, 89, pp.064030. ⟨10.1103/PhysRevD.89.064030⟩. ⟨in2p3-00915566⟩

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