A note on discrete R symmetries in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:math>–II orbifolds with Wilson lines

Nilles, Hans Peter; Ramos‐Sánchez, Saúl; Ratz, Michael; Vaudrevange, Patrick K.S.

doi:10.1016/j.physletb.2013.09.041

Cited by 24 publications

(12 citation statements)

References 22 publications

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“…The R-charges derived there also differ in the sign of the gamma phase contribution compared to our previous result [20]. The results presented here were obtained independently and hence confirm (and extend) those in [30].…”

Section: Jhep02(2014)098supporting

confidence: 73%

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Discrete R-symmetries and anomaly universality in heterotic orbifolds

Bizet

Kobayashi

Pena³

et al. 2014

J. High Energ. Phys.

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We study discrete R-symmetries, which appear in the 4D low energy effective field theory derived from heterotic orbifold models. We derive the R-symmetries directly from the geometrical symmetries of the orbifolds. In particular, we obtain the corresponding R-charges by requiring that the couplings be invariant under these symmetries. This allows for a more general treatment than the explicit computations of correlation functions made previously by the authors, including models with discrete Wilson lines, and orbifold symmetries beyond plane-by-plane rotational invariance. The R-charges obtained in this manner differ from those derived in earlier explicit computations. We study the anomalies associated with these R-symmetries, and comment on the results.

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Section: Jhep02(2014)098supporting

confidence: 73%

“…Note added: while this paper was in preparation, [30] appeared on the arXiv. There the R-symmetries of the Z 6II orbifold are derived and the contribution of the discrete Wilson lines is considered for the first time.…”

Section: Jhep02(2014)098mentioning

confidence: 99%

Discrete R-symmetries and anomaly universality in heterotic orbifolds

Bizet

Kobayashi

Pena³

et al. 2014

J. High Energ. Phys.

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“…Recently new results on R symmetries in heterotic orbifolds have been obtained [1,2]. We discuss the implications of these results on phenomenologically appealing models like the ones obtained in [3][4][5].…”

Section: Introductionmentioning

confidence: 73%

R symmetries and a heterotic MSSM

2015

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“…Those symmetries have a very nice geometrical interpretation: Non-Abelian Flavor symmetries arise from permutation symmetries of orbifold singularities [22,23] and discrete R-symmetries are remnants from the rotations of the 10D Lorentz symmetry preserved by the orbifold action. Hence orbifold spaces are the natural geometry where one should expect R-symmetries [24][25][26]. On the other hand using the CFT techniques it is hard to obtain those symmetries in the case of non-factorized torus lattices or in cases when freely acting involutions are modded out as well [25].…”

Section: Introductionmentioning

confidence: 99%

“…Here the orbifold picture can be helpful in uncovering such symmetries as discrete remnants of Higgsed symmetries that correspond to the blow-up modes. In some cases there might even be R-symmetries when the singularities are blown up in a symmetric way such that rotational symmetries might stay preserved [26,28].…”

Section: Introductionmentioning

confidence: 99%

Tracing symmetries and their breakdown through phases of heterotic (2,2) compactifications

Blaszczyk

Oehlmann²

2016

J. High Energ. Phys.

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Abstract:We are considering the class of heterotic N = (2, 2) Landau-Ginzburg orbifolds with 9 fields corresponding to A 9 1 Gepner models. We classify all of its Abelian discrete quotients and obtain 152 inequivalent models closed under mirror symmetry with N = 1, 2 and 4 supersymmetry in 4D. We compute the full massless matter spectrum at the Fermat locus and find a universal relation satisfied by all models. In addition we give prescriptions of how to compute all quantum numbers of the 4D states including their discrete R-symmetries. Using mirror symmetry of rigid geometries we describe orbifold and smooth Calabi-Yau phases as deformations away from the Landau-Ginzburg Fermat locus in two explicit examples. We match the non-Fermat deformations to the 4D Higgs mechanism and study the conservation of R-symmetries. The first example is a Z 3 orbifold on an E 6 lattice where the R-symmetry is preserved. Due to a permutation symmetry of blow-up and torus Kähler parameters the R-symmetry stays conserved also in the smooth Calabi-Yau phase. In the second example the R-symmetry gets broken once we deform to the geometric Z 3 × Z 3,free orbifold regime.

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A note on discrete R symmetries in Z6–II orbifolds with Wilson lines

Abstract: We re-derive the R symmetries for the Z 6 -II orbifold with non-trivial Wilson lines and find expressions for the R charges which differ from those in the literature.

Cited by 24 publications

References 22 publications

Discrete R-symmetries and anomaly universality in heterotic orbifolds

Discrete R-symmetries and anomaly universality in heterotic orbifolds

R symmetries and a heterotic MSSM

Tracing symmetries and their breakdown through phases of heterotic (2,2) compactifications

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