Simple currents versus orbifolds with discrete torsion — a complete classification

Kreuzer, Maximilian; Schellekens, A.N.

doi:10.1016/0550-3213(94)90055-8

Cited by 86 publications

(166 citation statements)

References 13 publications

Supporting

Mentioning

162

Contrasting

Order By: Relevance

“…All simple current invariants have been classified in [37], [35] and [33], under a mild regularity assumption for S, which, as we have seen in chapter 4, is not always satisfied. The simple currents of WZW models were classified in [38].…”

Section: Discussionmentioning

confidence: 99%

Galois modular invariants of WZW models

1995

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

Galois modular invariants of WZW models

1995

Self Cite

View full text Add to dashboard Cite

show abstract

“…The latter two numbers codify simple current data that describe respectively a MIPF and an orientifold. MIPFs are in general defined by means of a subgroup H of the simple current group G, plus a certain matrix X of rational numbers [55]. Orientifolds are defined by a simple current and a set of signs [43].…”

Section: Multiplet Inmentioning

confidence: 99%

Instanton induced neutrino Majorana masses in CFT orientifolds with MSSM-like spectra

Ibáñez

Schellekens

Uranga

2007

J. High Energy Phys.

129

105

View full text Add to dashboard Cite

Recently it has been shown that string instanton effects may give rise to neutrino Majorana masses in certain classes of semi-realistic string compactifications. In this paper we make a systematic search for supersymmetric MSSM-like Type II Gepner orientifold constructions admitting boundary states associated with instantons giving rise to neutrino Majorana masses and other L-and/or B-violating operators. We analyze the zero mode structure of D-brane instantons on general type II orientifold compactifications, and show that only instantons with O(1) symmetry can have just the two zero modes required to contribute to the 4d superpotential. We however discuss how the addition of fluxes and/or possible non-perturbative extensions of the orientifold compactifications would allow also instantons with Sp(2) and U (1) symmetries to generate such superpotentials. In the context of Gepner orientifolds with MSSM-like spectra, we find no models with O(1) instantons with just the required zero modes to generate a neutrino mass superpotential. On the other hand we find a number of models in one particular orientifold of the Gepner model (2,4,22,22) with Sp(2) instantons with a few extra uncharged non-chiral zero modes which could be easily lifted by the mentioned effects. A few more orientifold examples are also found under less stringent constraints on the zero modes. This class of Sp(2) instantons have the interesting property that R-parity conservation is automatic and the flavour structure of the neutrino Majorana mass matrices has a simple factorized form.

show abstract

“…To build MIPFs we make use of the formalism developed in [56,57], which can be shown to generate the most general MIPFs with non-vanishing off-diagonal multiplicities Z ij that lie entirely on simple current orbits: Z ij = 0 only if i and j are on the same simple current orbit. A general simple current invariant is described by a set of simple currents forming a discrete abelian group G, and a matrix X.…”

Section: Cft Constructionmentioning

confidence: 99%

Asymmetric Gepner models (revisited)

Gato-Rivera

Schellekens

2010

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Simple currents versus orbifolds with discrete torsion — a complete classification

Cited by 86 publications

References 13 publications

Galois modular invariants of WZW models

Galois modular invariants of WZW models

Instanton induced neutrino Majorana masses in CFT orientifolds with MSSM-like spectra

Asymmetric Gepner models (revisited)

Contact Info

Product

Resources

About