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Journal Articles Physical Review D Year : 2014

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

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D. Prins
• Function : Author
D. Tsimpis
• Function : Author

#### 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.

### Dates and versions

in2p3-00915566 , version 1 (09-12-2013)

### Identifiers

• HAL Id : in2p3-00915566 , version 1
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### Cite

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

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