Non-supersymmetric 4 orbifolds and Atkin-Lehner symmetry

Toon, Andrew

doi:10.1016/0370-2693(90)90958-9

Cited by 8 publications

(8 citation statements)

References 12 publications

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“…Non-supersymmetric constructions have been extensively studied in the past in heterotic and type II [2][3][4][5][6][7][8][9][10][11][12][13][14][17][18][19][20][21][22][23], as well as type I [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] strings and have become the subject of recent investigation in the context of non-supersymmetric string phenomenology [42,44,45,[52][53][54]. Criteria for classical stability of non-supersymmetric vacua have been analysed in [46][47][48] and reflect the presence of a misaligned supersymmetry in the spectrum of string excitations whose distribution is governed by the location of the non-trivial...…”

Section: Introductionmentioning

confidence: 99%

Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

2015

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We study one-loop quantum corrections to gauge couplings in heterotic vacua with spontaneous supersymmetry breaking. Although in non-supersymmetric constructions these corrections are not protected and are typically model dependent, we show how a universal behaviour of threshold differences, typical of supersymmetric vacua, may still persist. We formulate specific conditions on the way supersymmetry should be broken for this to occur. Our analysis implies a generalised notion of threshold universality even in the case of unbroken supersymmetry, whenever extra charged massless states appear at enhancement points in the bulk of moduli space. Several examples with universality, including non supersymmetric chiral models in four dimensions, are presented.

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Section: Introductionmentioning

confidence: 99%

Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

2015

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“…g h , given in eq. (13), vanishes for all pairs [g, h] = 0. The ten-dimensional one-loop sector (½, ½) is modular invariant by itself.…”

Section: G H In Each (G H)-sector Vanishes Identically By Itselfmentioning

confidence: 99%

“…Torus compactifications with Wilson lines were first considered in [8,9] and described in a covariant lattice approach [10,11]. Orbifold compactifications of this theory have been investigated in [12][13][14][15] and described in the free-fermionic formulation [16][17][18][19][20]. Such constructions can lead to models that possess low-energy spectra quite close to the Standard Model of Particle Physics [21][22][23][24][25][26] (which might possess fermionic symmetries even though being nonsupersymmetric [27]).…”

Section: Introductionmentioning

confidence: 99%

Tension Between a Vanishing Cosmological Constant and Non-Supersymmetric Heterotic Orbifolds

Nibbelink¹,

Loukas²,

Mutter³

et al. 2017

Preprint

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We investigate under which conditions the cosmological constant vanishes perturbatively at the oneloop level for heterotic strings on non-supersymmetric toroidal orbifolds. To obtain model-independent results, which do not rely on the gauge embedding details, we require that the right-moving fermionic partition function vanishes identically in every orbifold sector. This means that each sector preserves at least one, but not always the same Killing spinor. The existence of such Killing spinors is related to the representation theory of finite groups, i.e. of the point group that underlies the orbifold. However, by going through all inequivalent (Abelian and non-Abelian) point groups of six-dimensional toroidal orbifolds we show that this is never possible: For any non-supersymmetric orbifold there is always (at least) one sector, that does not admit any Killing spinor. The underlying mathematical reason for this no-go result is formulated in a conjecture, which we have tested by going through an even larger number of finite groups. This conjecture could be applied to situations beyond symmetric toroidal orbifolds, like asymmetric orbifolds.

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“…Non-supersymmetric orbifolds were investigated in Refs. [8,34]. Further aspects of non-supersymmetric models in heterotic and other string contexts can be found e.g.…”

Section: Introductionmentioning

confidence: 99%

(MS)SM‐like models on smooth Calabi‐Yau manifolds from all three heterotic string theories

Nibbelink

Loukas

Ruehle

2015

Fortschritte der Physik

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We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E 8 ×E 8 and SO(32) as well as for the non-supersymmetric SO(16)×SO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both favorable CICYs with relatively small h 11 and the Schoen manifold. Using Gram matrices we systematically analyze the combined consequences of the Bianchi identities and the tree-level Donaldson-Uhlenbeck-Yau equations inside the Kähler cone. In order to evaluate the model building potential of the three heterotic theories on the various geometries, we perform computer-aided scans. We have generated a large number of GUT-like models (up to over a few hundred thousand on the various geometries for the three heterotic theories) which become (MS)SM-like upon using a freely acting Wilson line. For all three heterotic theories we present tables and figures summarizing the potentially phenomenologically interesting models which were obtained during our model scans.

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Non-supersymmetric 4 orbifolds and Atkin-Lehner symmetry

Cited by 8 publications

References 12 publications

Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

Tension Between a Vanishing Cosmological Constant and Non-Supersymmetric Heterotic Orbifolds

(MS)SM‐like models on smooth Calabi‐Yau manifolds from all three heterotic string theories

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