Mirror symmetry &amp; supersymmetry on SU(4)-structure backgrounds

Minasian, Ruben; Prins, Daniël

doi:10.1007/jhep05(2016)021

Cited by 3 publications

(8 citation statements)

References 33 publications

(118 reference statements)

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“…The case with constant e φ and e 2A is d c J = 1 2 * 8 d(J 2 ), which was obtained in [29]. Since d(e 2A−φ J 2 ) appears in F 7 , and d c (e −φ J) appears in F 3 , the Hodge dual relation (76) is closely connected to the self-duality constraint (64) in the type IIB string theory.…”

Section: Su (4) Structures and Fluxesmentioning

confidence: 80%

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T4 fibrations over Calabi–Yau two-folds and non-Kähler manifolds in string theory

Lin

2016

Nuclear Physics B

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We construct a geometric model of eight-dimensional manifolds and realize them in the context of type II string theory. These eight-manifolds are constructed by non-trivial T 4 fibrations over Calabi-Yau two-folds. These give rise to eight-dimensional non-Kähler Hermitian manifolds with SU (4) structure. The eight-manifold is also a circle fibration over a seven-dimensional G 2 manifold with skew torsion. The eight-manifolds of this type appear as internal manifolds with SU (4) structure in type IIB string theory with F 3 and F 7 fluxes. These manifolds have generalized calibrated cycles in the presence of fluxes. T 4 fibrations over Calabi-Yau two-folds and non-Kähler eight-manifolds

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Section: Su (4) Structures and Fluxesmentioning

confidence: 80%

“…(30) and (27) as primitivity condition. The metric ansatz (4) of M 8 fits into special cases of eight-manifolds considered in [3,4,28,29]. Let us consider the condition of SU(4) structure for M 8 .…”

Section: Introductionmentioning

confidence: 99%

T4 fibrations over Calabi–Yau two-folds and non-Kähler manifolds in string theory

Lin

2016

Nuclear Physics B

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“…The non-Kähler geometries considered here could be useful for mirror symmetry [53] in higher dimensions and in non-Kähler manifolds [29,38]. It may be interesting to identify a subclass of these manifolds in this construction that will be useful for the mirror symmetry.…”

Section: Discussionmentioning

confidence: 99%

“…The non-Kähler manifolds and balanced manifolds can also occur in type II string theory, in the presence of three-form fluxes and five-brane sources. For example, they have appeared in the context of eight-dimensional Hermitian manifolds in type IIB string theory, see [34,38,45,49].…”

Section: Introductionmentioning

confidence: 99%

Higher dimensional generalizations of twistor spaces

Lin

Zheng

2017

Journal of Geometry and Physics

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Abstract. We construct a generalization of twistor spaces of hypercomplex manifolds and hyperKähler manifolds M , by generalizing the twistor P 1 to a more general complex manifold Q. The resulting manifold X is complex if and only if Q admits a holomorphic map to P 1 . We make branched double covers of these manifolds. Some class of these branched double covers can give rise to non-Kähler Calabi-Yau manifolds. We show that these manifolds X and their branched double covers are non-Kähler. In the cases that Q is a balanced manifold, the resulting manifold X and its special branched double cover have balanced Hermitian metrics.

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“…Two particular cases of the system of equations (3.16),(3.17) turn out to be related to those of [23], as was recently shown in [24]. More specifically, consider the 'IIB complex system' given by the strict SU (4) ansatz, η 2 = e iθ η 1 , so that,…”

Section: Calibrations and Supersymmetrymentioning

confidence: 90%