Superpotentials in IIA compactifications with general fluxes

Derendinger, Jean-Pierre; Kounnas, Costas; Petropoulos, P. Marios; Zwirner, Fabio

doi:10.1016/j.nuclphysb.2005.02.038

Cited by 240 publications

(533 citation statements)

References 80 publications

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“…Nevertheless, there remain unstabilised Kähler and dilaton moduli. It is known that in principle these may be stabilised using RR, NSNS and metric fluxes [14,15,16,17,18]. Models similar to the ones we have been discussing can be uplifted into ones with stabilised Kähler moduli using a "rigid corset" [19,31], which can be added to any RR tadpole-free assembly of D6-branes in order to stabilise all moduli.…”

Section: Discussionmentioning

confidence: 93%

“…The Z ′ 6 orientifold is so far the only known compactification of Type IIA string theory that can accommodate intersecting supersymmetric stacks a and b (with N a = 3 and N b = 2) of (fractional) D6-branes satisfying (14), having no matter in symmetric representations, and not too much in antisymmetric representations, on either stack. Stacks having these properties are a useful starting point if we are eventually to obtain just the spectrum of the supersymmetric Standard Model, although in principle (a ∩ b, a ∩ b ′ ) = (0, 3) or (3, 0) are also allowed.…”

Section: Discussionmentioning

confidence: 99%

“…This makes the search for solutions satisfying (14) much easier in the former case than than in the latter. It was for this reason that only the former case was considered in [8].…”

Section: Introductionmentioning

confidence: 99%

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Constructing the supersymmetric Standard Model from intersecting D6-branes on theZ6′orientifold

Bailin

Love

2009

Nuclear Physics B

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Intersecting stacks of supersymmetric fractional branes on the Z ′ 6 orientifold may be used to construct the supersymmetric Standard Model. If a, b are the stacks that generate the SU (3) colour and SU (2) L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a ∩ b of the stacks a and b, and the number of intersections a ∩ b ′ of a with the orientifold image b ′ of b satisfy (a∩b, a∩b ′ ) = (2, 1) or (1, 2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. Fractional branes having all of these properties may be constructed on the Z ′ 6 orientifold. We provide a number of new examples having these properties, some of which may be extended to give the Standard Model spectrum. Specifically, we construct four-stack models with two further stacks, each with just a single brane, which have the matter spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, plus three rightchiral neutrino singlets. Ramond-Ramond tadpole cancellation is achieved by the introduction of backgroundH 3 flux, the 3-form field strength associated with the Kalb-Ramond 2-form field B 2 . There remains a single unwanted gauged U (1) B−L .

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Section: Discussionmentioning

confidence: 93%

Section: Discussionmentioning

confidence: 99%

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Constructing the supersymmetric Standard Model from intersecting D6-branes on theZ6′orientifold

Bailin

Love

2009

Nuclear Physics B

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“…In a very similar way to the thermal supersymmetry breaking, string models with spontaneous breaking of supersymmetry can be constructed, adapting the Scherk-Schwarz mechanism [8] in superstrings [2,6,7,[9][10][11][12], which involves the introduction of non-trivial geometrical fluxes [13]. These fluxes can be described naturally in the framework of freely acting orbifolds [11].…”

Section: Introductionmentioning

confidence: 99%

Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Angelantonj

Kounnas²,

Partouche³

et al. 2009

Nuclear Physics B

124

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We consider closed type II and orientifold backgrounds where supersymmetry is spontaneously broken by asymmetric geometrical fluxes. We show that these can be used to describe thermal ensembles with chemical potentials associated to "gravito-magnetic" fluxes. The thermal free energy is computed at the one-loop string level, and it is shown to be free of the usual Hagedorn-like instabilities for a certain choice of the chemical potentials. In the closed string gravitational sector, as well as in the open string matter sector of the proposed orientifold construction, the free energy turns out to have "Temperature duality" symmetry, F (T /T H ) = F (T H /T ), which requires interchanging the space-time spinor representations S ↔ C. For small temperatures, T → 0, the anti-spinor C decouples from the spectrum while for large temperatures, T → ∞, the spinor S decouples. In both limits the free energy vanishes, as we recover a conventional type II superstring theory. At the self dual point T = T H , the thermal spectra of S and C are identical. At this point there are extra massless scalars in the adjoint representation of an SO(4) non-Abelian gauge symmetry group arising from the closed-string sector.

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“…In the simplest case, the back-reaction is given only by a non-trivial warp factor. Especially on the type IIA string theory and M-theory side, fluxes generate a severe back reaction on the internal geometry [9,10,11,12,13,14,15,16,17,18] and only few examples are explicitly known [19,20,21]; for reviews we refer the reader to [22,23,24] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Classification of supersymmetric flux vacua in M-theory

2006

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We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4 supersymmetry and the internal space allows for SU (2), SU (3) or G 2 structures. In particular, we find for N = 2 supersymmetry, that the external space-time is Minkowski and the base manifold of the internal space is conformally Kähler for SU (2) structures, while for SU (3) structures the internal space has to be EinsteinSasaki and no internal fluxes are allowed. Moreover, we provide a new vacuum with N = 1 supersymmetry and SU (3) structure, where all fluxes are non-zero and the first order differential equations are solved.

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Superpotentials in IIA compactifications with general fluxes

Cited by 240 publications

References 80 publications

Constructing the supersymmetric Standard Model from intersecting D6-branes on theZ6′orientifold

Constructing the supersymmetric Standard Model from intersecting D6-branes on theZ6′orientifold

Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Classification of supersymmetric flux vacua in M-theory

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