A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> standard model

Blaszczyk, Michael; Nibbelink, Stefan Groot; Ratz, Michael; Ruehle, Fabian; Trapletti, Michele; Vaudrevange, Patrick K.S.

doi:10.1016/j.physletb.2009.12.036

Cited by 97 publications

(50 citation statements)

References 48 publications

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“…There is also a large body of recent work on getting as close as possible to the currently known Stan-dard Model spectrum using heterotic strings (see e.g. [36,38,39,40,41] and references therein), using combinations of string theory and effective field theory. But this is not what we are aiming at.…”

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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Section: Introductionmentioning

confidence: 99%

Asymmetric Gepner models (revisited)

Gato-Rivera

Schellekens

2010

Nuclear Physics B

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“…The group SO(6) treats bosons and fermions differently and can thus provide the required (discrete) R-symmetry to control the μ-term. This is the first lesson from the MiniLandscape: The Higgs doublets live in the untwisted sector and are thus bulk fields (by now this has been confirmed in other constructions, like Z 2 × Z 2 [13,36] and Z 2 × Z 4 [39]). We believe that this result derived from the MiniLandscape might be of much more general validity.…”

Section: Lesson 1: the Higgs Doubletsmentioning

confidence: 52%

“…We will not repeat the details here, as they are explained in [9][10][11][32][33][34][35]. Meanwhile these investigations have been extended to the Z 2 × Z 2 case [13,36], Z 12 [37,38], Z 2 × Z 4 [39] and Z 8 [40]. All these constructions are based on a grand unified picture at some intermediate stage.…”

Section: A Minilandscapementioning

confidence: 99%

The strings connection: MSSM-like models from strings

Nilles¹

2014

Supersymmetry After the Higgs Discovery

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String theory constructions towards the MSSM allow us to identify some general properties that could be relevant for tests at the LHC. They originate from the geometric structure of compactification and the location of fields in extra-dimensional space. Within the framework of the heterotic MiniLandscape we extract some generic lessons for supersymmetric model building. Among them is a specific pattern of SUSY breakdown based on mirage mediation and remnants of extended supersymmetry. This leads to a split spectrum with heavy scalars of the first two families of quarks and leptons and suppressed masses for gauginos, top partners and Higgs bosons. The models exhibit some specific form of hidden supersymmetry consistent with the high mass of the Higgs boson and all presently available experimental constraints. The most compelling picture is based on precision gauge coupling unification that might be in the kinematic reach of the LHC.

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“…[These problems may be absent in the model of Ref. [146] in which the GUT breaking Wilson line wraps a non-contractible cycle, even when all orbifold fixed points are blown up. ]…”

Section: Heterotic -F Theory Dualsmentioning

confidence: 99%

Searching for the standard model in the string landscape: SUSY GUTs

Raby¹

2011

Rep. Prog. Phys.

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Abstract. The Standard Model is the theory describing all observational data from the highest energies to the largest distances. [There is however one caveat; additional forms of energy, not part of the Standard Model, known as dark matter and dark energy must be included in order to describe the universe at galactic scales and larger.] High energies refers to physics at the highest energy particle accelerators, including CERN's LEP II (which ceased operation in 2000 to begin construction of the LHC or Large Hadron Collider now operating) and Fermilab's Tevatron, as well as to the energies obtained in particle jets created in so-called active gallactic nuclei scattered throughout the visible universe. Some of these extra-galactic particles bombard our own earth in the form of cosmic rays, or super-energetic protons which scatter off nucei in the upper atmosphere.String theory is, on the other hand, an unfinished theoretical construct which attempts to describe all matter and their interactions in terms of the harmonic oscillations of open and/or closed strings. It is regarded as unfinished since at the present it is a collection of ideas, tied together by powerful consistency conditions, called dualities, with the ultimate goal of finding the completed String Theory. At the moment we only have descriptions which are valid in different mutually exclusive limits with names like, Type I, IIA, IIB, heterotic, M and F theory. The string landscape has been described in the pages of many scholarly and popular works. It is perhaps best understood as the collection of possible solutions to the string equations. Albeit these solutions look totally different in the different limiting descriptions. What do we know about the String Landscape? We know that there are such a large number of possible solutions that the only way to represent this number is as 10 500 or a one followed by 500 zeros. Note this isn't a precise value since the uncertainty is given by a number just as large. Moreover, we know that most of these string states look nothing like the Standard Model. They have the wrong matter and wrong forces. Moreover they are not off by a small amount, they are totally wrong.So the question becomes, does string theory really describe our observable world? In order to address this question, one must find at least one string state that resembles it. One possibility is that our observable world is in fact a unique string state. If this is the case, then the problem becomes one of finding the proverbial needle in the largest possible haystack! On the other hand, there may be many states which are sufficiently close to the observable world, and we need only to understand why we are in this finite subspace of the string landscape. And perhaps there are good reasons, why this subspace is preferred over 99.999999999...% of the myriad of non-Standard-Model-like string states. Perhaps, just by confining our attention to this subspace we can learn something about our observable world which we can not learn otherwise. Thus the § rab...

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A Z2×Z2 standard model

Cited by 97 publications

References 48 publications

Asymmetric Gepner models (revisited)

Asymmetric Gepner models (revisited)

The strings connection: MSSM-like models from strings

Searching for the standard model in the string landscape: SUSY GUTs

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