Orbifold models and modular transformation

Senda, Ikuo; Sugamoto, Akio

doi:10.1016/0550-3213(88)90245-3

Cited by 27 publications

(22 citation statements)

References 14 publications

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“…Once the twist vector is set, different Z N orbifold models arise from the different gauge embeddings that satisfy the modular invariance conditions [51][52][53][54] which ensure an effective theory free of any anomalies. We are then interested in admissible shift vectors V and Wilson lines A i that comply with (no summation implied)…”

Section: Jhep01(2012)021mentioning

confidence: 99%

Kinetic mixing of U(1)s in heterotic orbifolds

Goodsell

Ramos‐Sánchez

Ringwald

2012

J. High Energ. Phys.

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Abstract:We study kinetic mixing between massless U(1) gauge symmetries in the bosonic formulation of heterotic orbifold compactifications. For non-prime Z N factorisable orbifolds, we find a simple expression of the mixing in terms of the properties of the N = 2 subsectors, which helps understand under what conditions mixing can occur. With this tool, we analyze Z 6 -II heterotic orbifolds and find non-vanishing mixing even without including Wilson lines. We show that some semi-realistic models of the Mini-Landscape admit supersymmetric vacua with mixing between the hypercharge and an additional U(1), which can be broken at low energies. We finally discuss some phenomenologically appealing possibilities that hidden photons in heterotic orbifolds allow.

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Section: Jhep01(2012)021mentioning

confidence: 99%

Kinetic mixing of U(1)s in heterotic orbifolds

Goodsell

Ramos‐Sánchez

Ringwald

2012

J. High Energ. Phys.

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“…Direct consequences of this are that not all the Wilson lines are non-trivial nor independent, they can take only quantised values, and their order N α is restricted by the geometry of the compact space. Demanding modular invariance of the one-loop vacuum-to-vacuum amplitudes imposes additional constraints on the orbifold parameters which, for N orbifolds without Wilson lines, read [38][39][40] N…”

Section: Jhep01(2011)071mentioning

confidence: 99%

On moduli stabilisation and de Sitter vacua in MSSM heterotic orbifolds

Parameswaran

Ramos‐Sánchez

Zavala³

2011

J. High Energ. Phys.

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Abstract:We study the problem of moduli stabilisation in explicit heterotic orbifold compactifications, whose spectra contain the MSSM plus some vector-like exotics that can be decoupled. Considering all the bulk moduli, we obtain the 4D low energy effective action for the compactification, which has contributions from various, computable, perturbative and non-perturbative effects. Hidden sector gaugino condensation and string worldsheet instantons result in a combination of racetrack, KKLT-like and cusp-form contributions to the superpotential, which lift all the bulk moduli directions. We point out the properties observed in our concrete models, which tend to be missed when only "generic" features of a model are assumed. We search for interesting vacua and find several de Sitter solutions, but so far, they all turn out to be unstable.

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“…For instance, if ϵ g corresponds to the generalized Gliozzi-Scherk-Olive (GSO) phase in heterotic orbifold models. By the GSO projection, we can obtain the twist invariant states [16,17], and also the total number of massless modes, by inserting it into the partition function [18,19].…”

Section: ð2:11þmentioning

confidence: 99%

Majorana neutrino mass structure induced by rigid instantons on toroidal orbifold

2016

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We study the effects of D-brane instantons wrapping rigid cycles on the Z 2 × Z 0 2 toroidal orbifold. We compute Majorana masses induced by rigid D-brane instantons and realize bimaximal mixing matrices in certain models. We can also derive more generic mass matrices in other models. The bimaximal mixing Majorana mass matrix provides a possibility for explaining observed mixing angles. We also compute the μ-term matrix among more than one pair of Higgs fields induced by rigid D-brane instantons.

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Orbifold models and modular transformation

Cited by 27 publications

References 14 publications

Kinetic mixing of U(1)s in heterotic orbifolds

Kinetic mixing of U(1)s in heterotic orbifolds

On moduli stabilisation and de Sitter vacua in MSSM heterotic orbifolds

Majorana neutrino mass structure induced by rigid instantons on toroidal orbifold

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