Moduli fixing in realistic string vacua

Faraggi, Alon E.

doi:10.1016/j.nuclphysb.2005.08.028

Cited by 29 publications

(116 citation statements)

References 72 publications

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“…One can further check that the scalar states arising from the NS-sector are indeed identical in the two models. It should be emphasised that this outcome is particular to the boundary condition assignment for the set of left-moving real fermions {y, ω} 1,··· , 6 and their specific pairings [33]. The basic result is that due to this particular assignment all the internal circles of the six dimensional torus are shifted asymmetrically, hence fixing the moduli of all six circles simultaneously, which is possible only in the case of the Z 2 × Z 2 orbifold.…”

Section: Moduli Fixingmentioning

confidence: 99%

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Stable three generation standard-like model from a tachyonic ten dimensional heterotic-string vacuum

Faraggi¹,

Matyas²,

Percival³

2020

Eur. Phys. J. C

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Recently it was proposed that the ten dimensional tachyonic superstring vacua may serve as good starting points for the construction of viable phenomenological models. Such phenomenologically viable models enlarge the space of possible string solutions, and may offer novel insight into some of the outstanding problems in string phenomenology. In this paper we present a three generation standard-like model that may be regarded as a compactification of a ten dimensional tachyonic vacuum. We discuss the features of the model as compared to a similar model that may be regarded as compactification of the ten dimensional SO(16) × SO(16) heterotic-string. We further argue that in the four dimensional model all the geometrical moduli are fixed perturbatively, whereas the dilaton may be fixed by hidden sector non-perturbative effects. *

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Section: Moduli Fixingmentioning

confidence: 99%

“…(7) and (8) we follow the discussion in ref. [33]. The geometrical moduli in the model are identified in terms of worldsheet Thirring interactions [41] that are invariant under the fermionic transformation properties defined by a given set of basis vectors, and are parameterised by untwisted fields in the massless string spectrum [33].…”

Section: Moduli Fixingmentioning

confidence: 99%

Stable three generation standard-like model from a tachyonic ten dimensional heterotic-string vacuum

Faraggi¹,

Matyas²,

Percival³

2020

Eur. Phys. J. C

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“…As noted from Table 2 the χ + i states with i = 1, · · · , 5 correspond to the SO(10) singlet in the 27 representation of E 6 . The corresponding χ − i states correspond to the twisted moduli [19,31]. Thus, contrary to the cases [31] in which the twisted moduli are projected out, in the self-dual model of Eq.…”

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confidence: 93%

A lightZ′heterotic-string derived model

2015

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The existence of an extra Z inspired from heterotic-string theory at accessible energy scales attracted considerable interest in the particle physics literature. Surprisingly, however, the construction of heteroticstring derived models that allow for an extra Z to remain unbroken down to low scales has proven to be very difficult. The main reason being that the U(1) symmetries that are typically discussed in the literature are either anomalous or have to be broken at a high scale to generate light neutrino masses. In this paper we use for that purpose the self-duality property under the spinor vector duality, which was discovered in free fermionic heterotic string models. The chiral massless states in the self-dual models fill complete 27 representations of E 6 . The anomaly free gauge symmetry in the effective low energy field theory of our string model is SU(4) C × SU(2) L × SU(2) R × U(1) ζ , where U(1) ζ is the family universal U(1) symmetry that descends from E 6 , and is typically anomalous in other free fermionic heterotic-string models. Our model therefore allows for the existence of a low scale Z , which is a combination of B − L, U(1) ζ and T 3 R . The string model is free of exotic fractionally charged states in the massless spectrum. It contains exotic SO(10) singlet states that carry fractional, non-E 6 charge, with respect to U(1) ζ . These non-E 6 string states arise in the model due to the breaking of the E 6 symmetry by discrete Wilson lines. They represent a distinct signature of the string vacua. They may provide viable dark matter candidates.

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“…Furthermore, the asymmetric boundary conditions of the string model given in eq. (4.1) project all the geometrical moduli of the underlying Z 2 ×Z 2 orbifold [34,35]. Absence of supersymmetric flat solutions would imply that the supersymmetric moduli are fixed as well in this model.…”

Section: Discussionmentioning

confidence: 99%

Quasirealistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?

et al. 2008

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Quasi-realistic string models in the free fermionic formulation typically contain an anomalous U (1), which gives rise to a Fayet-Iliopoulos D-term that breaks supersymmetry at the one-loop level in string perturbation theory. Supersymmetry is traditionally restored by imposing F -and D-flatness on the vacuum. By employing the standard analysis of flat directions we present a quasi-realistic three generation string model in which stringent F -and Dflat solution do not appear to exist to all orders in the superpotential. We speculate that this result is indicative of the non-existence of supersymmetric flat F-and D-solutions in this model. We provide some arguments in support of this scenario and discuss its potential implications. Bose-Fermi degeneracy of the string spectrum implies that the one-loop partition function and hence the one-loop cosmological constant vanishes in the model. If our assertion is correct, this model may represent the first known example with vanishing cosmological constant and perturbatively broken supersymmetry. We discuss the distinctive properties of the internal free fermion boundary conditions that may correspond to a large set of models that share these properties. The geometrical moduli in this class of models are fixed due to asymmetric boundary conditions, whereas absence of supersymmetric flat directions would imply that the supersymmetric moduli are fixed as well and the dilaton may be fixed by hidden sector nonperturbative effects. *

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Moduli fixing in realistic string vacua

Cited by 29 publications

References 72 publications

Stable three generation standard-like model from a tachyonic ten dimensional heterotic-string vacuum

Stable three generation standard-like model from a tachyonic ten dimensional heterotic-string vacuum

A lightZ′heterotic-string derived model

Quasirealistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?

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