An effective description of the landscape — II

Gallego, Diego; Serone, Marco

doi:10.1088/1126-6708/2009/06/057

Cited by 21 publications

(39 citation statements)

References 34 publications

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“…We focus on this paper on theories with only chiral multiplets and no gauge fields. In a companion paper, we will extend the present results to the more interesting, but more involved, case where gauge fields are added [6]. As mentioned before, a meaningful freezing of the heavy fields requires that in some approximation their VEV's do not depend on the light fields and can be fixed to constant values H 0 , independently of the light field dynamics.…”

Section: Jhep01(2009)056supporting

confidence: 57%

“…Interestingly enough, one typically requires many complex structure moduli to be able to tune W 0 and the cosmological constant [14] to sufficiently small values, in which case there is no reason to expect small or negative SUSY mass terms [15,16]. 6 It is important to remark that our results are valid in the context of a spontaneous SUSY breaking mechanism. In this sense, they cannot automatically provide a solid framework for the whole KKLT procedure, since it is not yet clear whether the SUSY breaking mechanism advocated in [11] (the addition ofD 3 -branes) admits an interpretation in terms of a spontaneously broken 4D N = 1 SUGRA theory.…”

Section: Jhep01(2009)056mentioning

confidence: 66%

“…[20] for an interesting class of F-theory models of this kind). We hope to come back to this important point in a forthcoming paper [6].…”

Section: Jhep01(2009)056mentioning

confidence: 83%

“…Consider a type IIB CY orientifold compactification on CP 4 [1,1,1,6,9] . This manifold has h 1,1 = 2 and h 2,1 = 272 Kähler and complex structure moduli, respectively.…”

Section: Jhep01(2009)056mentioning

confidence: 99%

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An effective description of the landscape — I

Gallego¹,

Serone²

2009

J. High Energy Phys.

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We study under what conditions massive fields can be "frozen" rather than integrated out in certain four dimensional theories with global or local N = 1 supersymmetry. We focus on models without gauge fields, admitting a superpotential of the form W = W 0 (H) + ǫ W 1 (H, L), with ǫ ≪ 1, where H and L schematically denote the heavy and light chiral superfields. We find that the fields H can always be frozen to constant values H 0 , if they approximately correspond to supersymmetric solutions along the H directions, independently of the form of the Kähler potential K for H and L, provided K is sufficiently regular. In supergravity W 0 is required to be of order ǫ at the vacuum to ensure a mass hierarchy between H and L. The backreaction induced by the breaking of supersymmetry on the heavy fields is always negligible, leading to suppressed F H -terms. For factorizable Kähler potentials W 0 can instead be generic. Our results imply that the common way complex structure and dilaton moduli are stabilized, as in Phys. Rev. D 68 (2003) 046005 by Kachru et al., for instance, is reliable to a very good accuracy, provided W 0 is small enough.

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Section: Jhep01(2009)056supporting

confidence: 57%

Section: Jhep01(2009)056mentioning

confidence: 66%

“…[20] for an interesting class of F-theory models of this kind). We hope to come back to this important point in a forthcoming paper [6].…”

Section: Jhep01(2009)056mentioning

confidence: 83%

“…Consider a type IIB CY orientifold compactification on CP 4 [1,1,1,6,9] . This manifold has h 1,1 = 2 and h 2,1 = 272 Kähler and complex structure moduli, respectively.…”

Section: Jhep01(2009)056mentioning

confidence: 99%

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An effective description of the landscape — I

Gallego¹,

Serone²

2009

J. High Energy Phys.

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“…Furthermore, in our analysis we have focused on Kahler moduli only assuming that the complex structure moduli and the dilaton are stabilized by fluxes at a much higher scale [58]. As argued in [47,48], the decoupling between the dynamics of Kahler moduli and complex structure moduli plus the dilaton is only justified when W 0 is small enough. 14 Thus, we see that the requirement of a small W 0 ≪ 1 has four separate origins:…”

Section: Jhep12(2010)056mentioning

confidence: 99%

Stabilizing all Kähler moduli in type IIB orientifolds

Bobkov

Braun

Kumar

et al. 2010

J. High Energ. Phys.

112

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We describe a simple and robust mechanism that stabilizes all Kähler moduli in Type IIB orientifold compactifications. This is shown to be possible with just one non-perturbative contribution to the superpotential coming from either a D3-instanton or D7-branes wrapped on an ample divisor. This moduli-stabilization mechanism is similar to and motivated by the one used in the fluxless G 2 compactifications of M theory. After explaining the general idea, explicit examples of Calabi-Yau orientifolds with one and three Kähler moduli are worked out. We find that the stabilized volumes of all two-and four-cycles as well as the volume of the Calabi-Yau manifold are controlled by a single parameter, namely, the volume of the ample divisor. This feature would dramatically constrain any realistic models of particle physics embedded into such compactifications. Broad consequences for phenomenology are discussed, in particular the dynamical solution to the strong CP-problem within the framework.

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Moduli stabilisation in heterotic models with standard embedding

Micu¹

2010

J. High Energ. Phys.

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In this note we analyse the issue of moduli stabilisation in 4d models obtained from heterotic string compactifications on manifolds with SU(3) structure with standard embedding. In order to deal with tractable models we first integrate out the massive fields. We argue that one can not only integrate out the moduli fields, but along the way one has to truncate also the corresponding matter fields. We show that the effective models obtained in this way do not have satisfactory solutions. We also look for stabilised vacua which take into account the presence of the matter fields. We argue that this also fails due to a no-go theorem for Minkowski vacua in the moduli sector which we prove in the end. The main ingredient for this no-go theorem is the constraint on the fluxes which comes from the Bianchi identity.

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An effective description of the landscape — II

Cited by 21 publications

References 34 publications

An effective description of the landscape — I

An effective description of the landscape — I

Stabilizing all Kähler moduli in type IIB orientifolds

Moduli stabilisation in heterotic models with standard embedding

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