Towards reduction of type II theories on SU(3) structure manifolds

Kashani-Poor, Amir-Kian; Minasian, Ruben

doi:10.1088/1126-6708/2007/03/109

Cited by 52 publications

(165 citation statements)

References 29 publications

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“…Such conditions arise from demanding that the local special Kähler geometry of the untruncated theory descends to the moduli space of truncated modes. (Note the question of when such truncations exist remains an open problem, see also [50].) Upon meeting these conditions, the resulting theory is a four-dimensional N = 2 supergravity, with generically massive antisymmetric tensors.…”

Section: Discussionmentioning

confidence: 99%

“…In this paper we do not address directly the question of when such truncations exist, but simply derive a set of consistency conditions for the effective theory to be N = 2 supersymmetric. (These issues are discussed in detail in [50].) Given such a truncation, we identify the backgrounds mirror to a Calabi-Yau compactification with magnetic H-flux, the case which was missing from the analysis of [11].…”

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confidence: 99%

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SU(3) × SU(3) compactification and mirror duals of magnetic fluxes

Graña¹,

Louis²,

Waldram³

2007

J. High Energy Phys.

149

527

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This paper analyses type II string theories in backgrounds which admit an SU (3)×SU (3) structure. Such backgrounds are designed to linearly realize eight out of the original 32 supercharges and as a consequence the low-energy effective action can be written in terms of couplings which are closely related to the couplings of four-dimensional N = 2 theories. This generalizes the previously studied case of SU (3) backgrounds in that the left-and right-moving sector each have a different globally defined spinor. Given a truncation to a finite number of modes, these backgrounds lead to a conventional fourdimensional low-energy effective theory. The results are manifestly mirror symmetric and give terms corresponding to the mirror dual couplings of Calabi-Yau compactifications with magnetic fluxes. It is argued, however, that generically such backgrounds are nongeometric and hence the supergravity analysis is not strictly valid. Remarkably, the naive generalization of the geometrical expressions nonetheless appears to give the correct lowenergy effective theory.

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

SU(3) × SU(3) compactification and mirror duals of magnetic fluxes

Graña¹,

Louis²,

Waldram³

2007

J. High Energy Phys.

149

527

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“…Constructing such torsional analogues of harmonic forms is quite similar to finding an appropriate basis of p-forms to perform dimensional reduction on SU(3)-structure manifolds [54,[60][61][62], since both problems deal with p-forms that are invisible to de Rham cohomology and correspond to the internal profile of massive 4d modes. with ω tor r−1 a globally well-defined (r − 1)-form, and k ∈ Z such that kα tor r is trivial also in Tor H r (M D , Z).…”

Section: Massive Rr U(1)'s From Torsionmentioning

confidence: 99%

“…Since ω tor r−1 is globally well-defined, we can expand an RR potential C p on it. 11 Indeed, we will argue below that both α tor r and ω tor r−1 are related to an isolated set of massive modes of the compactification and so, in a spirit similar to [62], we will demand that the set of representatives {ω tor r−1 } should be closed under the action of the Laplacian, as in eq. (4.18).…”

Section: Massive Rr U(1)'s From Torsionmentioning

confidence: 99%

RR photons

Cámara

Ibáñez

Marchesano

2011

J. High Energ. Phys.

163

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Type II string compactifications to 4d generically contain massless RamondRamond U(1) gauge symmetries. However there is no massless matter charged under these U(1)'s, which makes a priori difficult to measure any physical consequences of their existence. There is however a window of opportunity if these RR U(1)'s mix with the hypercharge U(1) Y (hence with the photon). In this paper we study in detail different avenues by which U(1) RR bosons may mix with D-brane U(1)'s. We concentrate on Type IIA orientifolds and their M-theory lift, and provide geometric criteria for the existence of such mixing, which may occur either via standard kinetic mixing or via the mass terms induced by Stückelberg couplings. The latter case is particularly interesting, and appears whenever D-branes wrap torsional p-cycles in the compactification manifold. We also show that in the presence of torsional cycles discrete gauge symmetries and Aharanov-Bohm strings and particles appear in the 4d effective action, and that type IIA Stückelberg couplings can be understood in terms of torsional (co)homology in M-theory. We provide examples of Type IIA Calabi-Yau orientifolds in which the required torsional cycles exist and kinetic mixing induced by mass mixing is present. We discuss some phenomenological consequences of our findings. In particular, we find that mass mixing may induce corrections relevant for hypercharge gauge coupling unification in F-theory SU(5) GUT's.

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“…While this looks physically very reasonable, KK reducing on a general manifold is in fact not easy, in general: so far, the only examples fully understood are Calabi-Yau's, parallelizable manifolds (like the so-called "twisted tori", used in ScherkSchwarz constructions 3 ) or cosets. Proposals exist on how to understand more general manifolds (see for example [27]), but they are plagued by many geometrical issues [28], which so far seem to be under control only in simple cases [20,29] (although one can show that four-and ten-dimensional supersymmetry are equivalent [30,31]). Given this state of affairs, one might want to look for vacua first, and only later for effective theories.…”

Section: Introductionmentioning

confidence: 99%

New string vacua from twistor spaces

Tomasiello

2008

Phys. Rev. D

180

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We find a new family of AdS 4 vacua in IIA string theory. The internal space is topologically either the complex projective space CP 3 or the "flag manifold" SU(3)/(U(1) × U (1)), but the metric is in general neither Einstein nor Kähler. All known moduli are stabilized by fluxes, without using quantum effects or orientifold planes. The analysis is completely ten-dimensional and does not rely on assumptions about Kaluza-Klein reduction.

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Towards reduction of type II theories on SU(3) structure manifolds

Cited by 52 publications

References 29 publications

SU(3) × SU(3) compactification and mirror duals of magnetic fluxes

SU(3) × SU(3) compactification and mirror duals of magnetic fluxes

RR photons

New string vacua from twistor spaces

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