Supersymmetric standard model spectra from RCFT orientifolds

By T. Dijkstra, L. Huiszoon, A. Schellekens. 2004

206 citations recorded by the source corpus.

Abstract We present supersymmetric, tadpole-free d = 4 , N = 1 orientifold vacua with a three family chiral fermion spectrum that is identical to that of the standard model. Starting with all simple current orientifolds of all Gepner models we perform a systematic search for such spectra. We consider several variations of the standard four-stack intersecting brane realization of the standard model, with all quarks and leptons realized as bifundamentals and perturbatively exact baryon and lepton number symmetries, and with a U ( 1 ) Y vector boson that does not acquire a mass from Green–Schwarz terms. The number of supersymmetric Higgs pairs H 1 + H 2 is left free. In order to cancel all tadpoles, we allow a “hidden” gauge group, which must be chirally decoupled from the standard model. We also allow for non-chiral mirror-pairs of quarks and leptons, non-chiral exotics and (possibly chiral) hidden, standard model singlet matter, as well as a massless B–L vector boson. All of these less desirable features are absent in some cases, although not simultaneously. In particular, we found cases with massless Chan–Paton gauge bosons generating nothing more than SU ( 3 ) × SU ( 2 ) × U ( 1 ) . We obtain almost 180 000 rationally distinct solutions (not counting hidden sector degrees of freedom), and present distributions of various quantities. We analyse the tree level gauge couplings, and find a large range of values, remarkably centered around the unification point.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8e7955ffc3386fd03cb54317ab9551f0649b9831

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In Nuclear and High Energy Physics

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Citations in the corpus

• Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, background): “In particular, it remains for future work to investigate possible consequences on the statistical distribution of supersymmetric brane vacua in the type IIA geometric regime [39,61,62] or at the small radius Gepner point [63, 64].”
• The statistics of supersymmetric D-brane models (2004, background): “In the latter case a systematic computer search for semi-realistic models has been pioneered in [48].”
• Neutrino Majorana masses from string theory instanton effects (2006, methodology): “One could make an analogous discussion for orientifold compactifications of type IIB theory with D(2p+1)-branes, like type I models with magnetized D9-branes [12, 9, 13], compactifications with D3- and D7-branes [14], models of D-branes at singularities [15 – 17], or non-geometric constructions like”
• Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds (2006, background): “produce the observed particle physics, they do exist as consistent solutions within the vast string landscape. A detailed investigation of the topography of this solution space, e.g. in the spirit of [67] for the hidden sector of MSSM-like Gepner model orientifolds, [68–70] for a class of toroidal i”
• Chiral D-brane Models with Frozen Open String Moduli (2005, background): “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].”
• Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra (2007, methodology): “In previous work [6] we have enumerated these quantities (up to permutation symmetries) and assigned integer labels to them for future reference.”
• One in a Billion: MSSM-like D-Brane Statistics (2005, methodology): “In figure 8(a) we give the complete distribution, in 8(b) we allow for maximally three branes in the hidden sector in order to make the result better comparable to [7], where a similar cutoff was imposed for computational reasons.”
• Orientifolds, hypercharge embeddings and the Standard Model (2006, methodology): “In [12] only a subset of the possible x = 1 2 models was considered, but for a much larger set of MIPFs.”
• TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, methodology): “It was found that for approximately 10% of these models this relation was satisfied (which could clearly be seen in the overall plot in [122]).”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “After some earlier studies [273, 274] which proceeded model by model, various equivalent frameworks have been developed for the systematic construction of Gepner model orientifolds [275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287].”
• Flux compactifications in string theory: A Comprehensive review (2005, background): “Backgrounds with NS fluxes can be studied in the other extreme regime, where the internal space is very small, but world-sheet techniques are powerful enough, like in orientifolds of Gepner models [231] (see Ref [232] for a search of vacua”