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

Gmeiner, Florian; Blumenhagen, Ralph; Honecker, Gabriele; Lüst, Dieter; Weigand, Timo

doi:10.1088/1126-6708/2006/01/004

Cited by 185 publications

(275 citation statements)

References 59 publications

(99 reference statements)

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“…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. These studies revealed a disturbing dip in the number of families, precisely for the observed value of 3, which occurred less frequently than 2 or 4 by two to three orders of magnitude [19,20].…”

Section: Introductionmentioning

confidence: 78%

“…The slope is considerably smaller than for orientifold models (c.f. [19,20]). This is a general feature, which we will study in more detail in a forthcoming paper [68], where family distributions that cover all integers are obtained.…”

Section: The Three Family Casementioning

confidence: 99%

“…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%

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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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Section: Introductionmentioning

confidence: 78%

Section: The Three Family Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Asymmetric Gepner models (revisited)

Gato-Rivera

Schellekens

2010

Nuclear Physics B

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“…four-dimensional compactifications, forcing us to perform a more direct computer aided analysis [69]. Using this approach, we discussed various aspects of frequency distributions in the gauge sector.…”

Section: Discussionmentioning

confidence: 99%

“…The results presented in the following have been published in [69,68], see also the analysis in [78] and more recent results using brane recombination methods in [79].…”

Section: Properties Of the Gauge Sectormentioning

confidence: 92%

Gauge sector statistics of intersecting D‐brane models

Gmeiner

2007

Fortschritte der Physik

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In this article, which is based on the first part of my PhD thesis, I review the statistics of the open string sector in T^6/(Z_2xZ_2) orientifold compactifications of the type IIA string. After an introduction to the orientifold setup, I discuss the two different techniques that have been developed to analyse the gauge sector statistics, using either a saddle point approximation or a direct computer based method. The two approaches are explained and compared by means of eight- and six-dimensional toy models. In the four-dimensional case the results are presented in detail. Special emphasis is put on models containing phenomenologically interesting gauge groups and chiral matter, in particular those containing a standard model or SU(5) part.Comment: 51 pages, 29 figures; v2: ref. added, version to appear in Fortsch. Phys; v3: ref. adde

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Standard model statistics of a type II orientifold

Gmeiner

2006

Fortschritte der Physik

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

Cited by 185 publications

References 59 publications

Asymmetric Gepner models (revisited)

Asymmetric Gepner models (revisited)

Gauge sector statistics of intersecting D‐brane models

Standard model statistics of a type II orientifold

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