Naturally vanishing cosmological constant in N=1 supergravity

Cremmer, E.; Ferrara, S.; Kounnas, Costas; Nanopoulos, Dimitri V.

doi:10.1016/0370-2693(83)90106-5

Cited by 823 publications

(1,019 citation statements)

References 24 publications

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“…This leaves the holomorphic trilinear terms which should be identified as A-terms. Thus we have 37) which agrees with (3.33) for zâ = 0. The term linear in zâ could not be computed rigorously in (3.33) since one would need to knowỸ ijk in (3.32) to quadratic order.…”

Section: Iasd Fluxessupporting

confidence: 86%

Soft supersymmetry breaking in Calabi–Yau orientifolds with D-branes and fluxes

et al. 2004

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In this paper we compute the N = 1 effective low energy action for a stack of N space-time filling D3-branes in generic type IIB Calabi-Yau orientifolds with non-trivial background fluxes by reducing the Dirac-Born-Infeld and Chern-Simons actions. Specifically, we determine the Kähler potential for the excitations of the D-brane including their couplings to all bulk moduli fields. In the effective theory, N = 1 supergravity is spontaneously broken by the presence of fluxes and we compute the induced soft supersymmetry breaking terms. We find an interesting structure in the resulting soft terms with generically universal soft scalar masses.

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Section: Iasd Fluxessupporting

confidence: 86%

Soft supersymmetry breaking in Calabi–Yau orientifolds with D-branes and fluxes

et al. 2004

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“…As we have indicated, the required magnitude of m 0 is not necessarily a disaster for FCNI, at least in the quark sector. Moreover, the lower limit on m 0 is still compatible with vanishing scalar masses at the Planck scale, as suggested by no-scale models [3]. …”

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confidence: 55%

Lower limits on soft supersymmetry-breaking scalar masses

2002

Self Cite

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Working in the context of the CMSSM, we argue that phenomenological constraints now require the universal soft supersymmetry-breaking scalar mass m 0 be non-zero at the input GUT scale. This conclusion is primarily imposed by the LEP lower limit on the Higgs mass and the requirement that the lightest supersymmetric particle not be charged. We find that m 0 > 0 for all tan β if µ < 0, and m 0 = 0 may be allowed for µ > 0 only when tan β ∼ 8 and one allows an uncertainty of 3+ GeV in the theoretical calculation of the Higgs mass. Upper limits on flavour-changing neutral interactions in the MSSM squark sector allow substantial violations of non-universality in the m 0 values, even if their magnitudes are comparable to the lower limit we find in the CMSSM. Also, we show that our lower limit on m 0 at the GUT scale in the CMSSM is compatible with the no-scale boundary condition m 0 = 0 at the Planck scale. CERN-TH/2001-256 August 2001Motivated by the naturalness of the gauge hierarchy [1], TeV-scale supersymmetry is, perhaps, the most plausible scenario for low-energy physics beyond the Standard Model. Here we study the minimal supersymmetric extension of the Standard model (MSSM). Some of the greatest puzzles of supersymmetry are associated with its breaking. There is no consensus on the origin of supersymmetry breaking, even within string (or M) theory, and we do not know what fixes the scale of supersymmetry breaking (and how). Within this general area of puzzles, there are minor puzzles, such as questions whether soft supersymmetry-breaking scalar and gaugino masses, m 0 and m 1/2 , respectively, are universal. In particular, generationdependent scalar masses would threaten the observed suppression of flavour-changing neutral interactions (FCNI) [2], whereas differences between the scalar masses of sparticles with different gauge quantum numbers would be less problematic. In other words, one needsto a very good approximation, and similarly for the ℓ R and for the squarks. On the other hand, there is no strong phenomenological reason why m ℓ L 0 = m ℓ R 0 , or why squark and slepton masses should be equal. For the moment, however, we work in the context of the constrained MSSM (CMSSM), where this extended universality is assumed.Some proposed mechanisms for supersymmetry breaking in string theory yield generationdependent scalar masses, for example because they depend on moduli characterizing the string vacuum, whereas other mechanisms are naturally generation-independent. The former are a priori in conflict with the constraints imposed by FCNI. Many of the latter mechanisms achieve consistency with these limits by resuscitating no-scale gravity [3], in which the soft supersymmetry-breaking scalar masses vanish at the input supersymmetric grand-unification (GUT) scale. These input values are renormalized by gauge and Yukawa interactions at lower scales. The renormalizations by gauge interactions are generation-independent, whereas those by Yukawa interactions break universality by amounts related to quark ...

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“…This gauging is realized by setting θ AB = δ AB namely θ IJ = δ IJ , τ I = 0,g = 1. In general the group CSO(p, q, r) describes the isometries of the following seven dimensional hypersurface embedded in R 8 [49,50,51]: 25) and which can be written locally as the product H p,q ×R r , H p,q being a (p+q)-dimensional hyperboloid. The Maurer-Cartan equations for this manifold have the form: Let us consider the following basis of E 7(7) generators:…”

Section: The Embedding Tensor Description Applied To Different Classementioning

confidence: 99%

“…These models [18,19,20,21,22,23,24], depending on the choice of fluxes, can give rise to no-scale supergravities [25] with partially broken supersymmetry or other type of vacua. These solutions can have either Minkowski or AdS geometry.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes

D’Auria

Ferrara

Trigiante

2006

J. High Energy Phys.

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We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on. The super-curvatures are given and the local supersymmetry transformations derived. Dual formulations of the theory are discussed in connection with classes of gaugings corresponding to diverse choices of vacua. This also includes seven dimensional compactifications on more general spaces not described by group manifolds.

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Naturally vanishing cosmological constant in N=1 supergravity

Cited by 823 publications

References 24 publications

Soft supersymmetry breaking in Calabi–Yau orientifolds with D-branes and fluxes

Soft supersymmetry breaking in Calabi–Yau orientifolds with D-branes and fluxes

Lower limits on soft supersymmetry-breaking scalar masses

Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes

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