Chiral supersymmetric Standard Model spectra from orientifolds of Gepner models

Dijkstra, Ton; Huiszoon, L.R.; Schellekens, A.N.

doi:10.1016/j.physletb.2004.04.094

Cited by 108 publications

(202 citation statements)

References 57 publications

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“…Let us compare the overall suppression of models by the K-theory constraints to the analogous results for Gepner Models [26,48]. Unfortunately, a direct comparison of our gauge statistics and the Gepner Model data is not possible, since the abundance of solutions at the Gepner point forced the authors to restrict their search a priori to Standard Model like vacua.…”

Section: Statistical Distributions 41 Effect Of the K-theory Constramentioning

confidence: 99%

One in a billion: MSSM-like D-brane statistics

Gmeiner¹,

Blumenhagen²,

Honecker³

et al. 2006

J. High Energy Phys.

185

253

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Continuing our recent work hep-th/0411173, we study the statistics of fourdimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background. We have performed a vast computer survey of solutions to the stringy consistency conditions and present their statistical implications with special emphasis on the frequency of Standard Model features. Among the topics we discuss are the implications of the K-theory constraints, statistical correlations among physical quantities and an investigation of the various statistical suppression factors arising once certain Standard Model features are required. We estimate the frequency of an MSSM like gauge group with three generations to be one in a billion.

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Section: Statistical Distributions 41 Effect Of the K-theory Constramentioning

confidence: 99%

One in a billion: MSSM-like D-brane statistics

Gmeiner¹,

Blumenhagen²,

Honecker³

et al. 2006

J. High Energy Phys.

185

253

View full text Add to dashboard Cite

show abstract

“…Another recently discussed class of intersecting D-brane models are Gepner model orientifolds [47][48][49][50][51][52][53][54]. Since Gepner models describe exact solutions of the nonlinear sigma model on certain Calabi-Yau manifolds deep inside the Kähler moduli space, they provide some insights on 3-cycles on Calabi-Yau manifolds there.…”

Section: Other Constructionsmentioning

confidence: 99%

“…Moreover, we will briefly discuss some phenomenological aspects of such D-brane models. 4 Besides orbifold constructions, semi-realistic models based on non-geometric conformal field theory, such as orientifolds of Gepner models [45,46], have most recently been considered in [47][48][49][50][51][52][53][54]. These vacua are known to describe special points in the moduli space of certain Calabi-Yau manifolds, and the results in the literature indicate that supersymmetric semirealistic chiral particle spectra can be obtained in many of these models [54].…”

Section: Introductionmentioning

confidence: 99%

Chiral D-brane Models with Frozen Open String Moduli

Blumenhagen

Cvetič

Marchesano

et al. 2005

J. High Energy Phys.

131

287

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Most intersecting D-brane vacua in the literature contain additional massless adjoint fields in their low energy spectrum. The existence of these additional fields make it difficult to obtain negative beta functions and, eventually, asymptotic freedom. We address this important issue for N = 1 intersecting D-brane models, rephrasing the problems in terms of (open string) moduli stabilization. In particular, we consider a Z 2 × Z 2 orientifold construction where D6-branes wrap rigid 3-cycles and such extra adjoint fields do not arise. We derive the model building rules and consistency conditions for intersecting branes in this background, and provide N = 1 chiral vacua free of adjoint fields. More precisely, we construct a Pati-Salam-like model whose SU (4) gauge group is asymptotically free. We also comment on the application of these results for obtaining gaugino condensation in chiral D-brane models. Finally, we embed our constructions in the framework of flux compactification, and construct new classes of N = 1 and N = 0 chiral flux vacua. † Permanent address

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“…However, previous studies of family number distributions seem to suggest that in fact precisely the number three is difficult to obtain. In the area of orientifolds, systematic studies have been done for a variety of Standard Model features [19,20,21,17,22]. Although most of this work has focused on getting the Standard Model itself, a number of conclusions can be drawn about distributions of certain parameters and discrete properties in its neighbourhood, such as coupling constants, the presence of various kinds of GUTs, the number of families, or the presence of fractional charges.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Gepner models (revisited)

Gato-Rivera

Schellekens

2010

Nuclear Physics B

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We reconsider a class of heterotic string theories studied in 1989, based on tensor products of N = 2 minimal models with asymmetric simple current invariants. We extend this analysis from (2, 2) and (1, 2) spectra to (0, 2) spectra with SO(10) broken to the Standard Model. In the latter case the spectrum must contain fractionally charged particles. We find that in nearly all cases at least some of them are massless. However, we identify a large subclass where the fractional charges are at worst half-integer, and often vector-like. The number of families is very often reduced in comparison to the 1989 results, but there are no new tensor combinations yielding three families. All tensor combinations turn out to fall into two classes: those where the number of families is always divisible by three, and those where it is never divisible by three. We find an empirical rule to determine the class, which appears to extend beyond minimal N = 2 tensor products. We observe that distributions of physical quantities such as the number of families, singlets and mirrors have an interesting tendency towards smaller values as the gauge groups approaches the Standard Model. We compare our results with an analogous class of free fermionic models. This displays similar features, but with less resolution. Finally we present a complete scan of the three family models based on the triply-exceptional combination (1, 16 * , 16 * , 16 * ) identified originally by Gepner. We find 1220 distinct three family spectra in this case, forming 610 mirror pairs. About half of them have the gauge group SU (3) × SU (2) L × SU (2) R × U (1) 5 , the theoretical minimum, and many others are trinification models.

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Chiral supersymmetric Standard Model spectra from orientifolds of Gepner models

Cited by 108 publications

References 57 publications

One in a billion: MSSM-like D-brane statistics

One in a billion: MSSM-like D-brane statistics

Chiral D-brane Models with Frozen Open String Moduli

Asymmetric Gepner models (revisited)

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