Spectral flow as a map between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>-models

Athanasopoulos, Panos; Faraggi, Alon E.; Gepner, Doron

doi:10.1016/j.physletb.2014.06.062

Cited by 17 publications

(5 citation statements)

References 21 publications

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“…The SVD operates under the exchange of the total number of spinorial plus anti-spinorial representations and the total number of vectorial representations of the underlying GUT symmetry group, where the GUT group is SO (12), or SO (10), in the case of models with N = 2, or N = 1, spacetime supersymmetry, respectively. The spinor-vector duality which is observed in Z 2 × Z 2 orbifold compactifications generalises to exact string solutions with interacting internal CFTs [23].…”

Section: Introductionmentioning

confidence: 84%

“…This picture then generalises to string vacua with interacting internal CFTs [23], which utilise the Gepner construction of such vacua [11]. Starting with string vacua with (2, 2) worldsheet supersymmetry and E 6 gauge symmetry, the N = 2 worldsheet supersymmetry on the bosonic side is broken with a Wilson line, and the spectral flow operator then induces the transformation which extend the SVD to these cases [23]. It is important, however, to emphasise that the bosonic representation that I discussed in detail here is crucial for seeking the imprint of the SVD in the effective field-theory limit, just as in the case of mirror symmetry.…”

Section: First Planementioning

confidence: 91%

“…In this case, the spectrum is self-dual under the SVD and the spectral flow operator acts as a generator of E 6 , exchanging between the spinorial and vectorial representations in the decomposition of E 6 representations under the SO(10) × U(1) subgroup. This picture then generalises to string vacua with interacting internal CFTs [23], which utilise the Gepner construction of such vacua [11]. Starting with string vacua with (2, 2) worldsheet supersymmetry and E 6 gauge symmetry, the N = 2 worldsheet supersymmetry on the bosonic side is broken with a Wilson line, and the spectral flow operator then induces the transformation which extend the SVD to these cases [23].…”

Section: First Planementioning

confidence: 99%

“…In this context, the worldsheet description serves as a guide to guess how the worldsheet description should be interpreted in the effective field-theory limit. It is noted that the SVD in the worldsheet formalism generalises to string compactifications with interacting internal CFTs [23], as well as to cases with more discrete torsions [31].…”

Section: First Planementioning

confidence: 99%

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Spinor-Vector Duality and the Swampland

Faraggi

2022

Universe

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The Swampland Program aims to address the question, “when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?”, and can be regarded as a bottom-up approach for investigations of quantum gravity. An alternative top-down approach aims to explore the imprints and the constraints imposed by string-theory dualities and symmetries on the effective field theory representations of quantum gravity. The most celebrated example of this approach is mirror symmetry. Mirror symmetry was first observed in worldsheet contructions of string compactifications. It was completely unexpected from the effective field theory point of view, and its implications in that context were astounding. In terms of the moduli parameters of toroidally compactified Narain spaces, mirror symmetry can be regarded as arising from mappings of the moduli of the internal compactified space. Spinor-vector duality, which was discovered in worldsheet constructions of string vacua, is an extension of mirror symmetry that arises from mappings of the Wilson line moduli and provide a probe to constrain and explore the moduli spaces of (2, 0) string compactifications. Mirror symmetry and spinor-vector duality are mere two examples of a much wider symmetry structure, whose implications have yet to be unravelled. A mapping between supersymmetric and non-supersymmetric vacua is briefly discussed. T-duality is another important property of string theory and can be thought of as phase-space duality in compact space. I propose that manifest phase-space duality and the related equivalence postulate of quantum mechanics provide the background independent overarching principles underlying quantum gravity.

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Section: Introductionmentioning

confidence: 84%

Section: First Planementioning

confidence: 91%

Section: First Planementioning

confidence: 99%

Section: First Planementioning

confidence: 99%

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Spinor-Vector Duality and the Swampland

Faraggi

2022

Universe

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“…This distinction affects the moduli spaces of the models [53], which can be entirely fixed in the former case [54] but not in the later. On the other hand the classification method enables the systematic scan of spaces of the order of 10 12 vacua, and led to the discovery of spinor-vector duality [46][47][48][55][56][57][58][59] and exophobic heterotic-string vacua [20,21]. In this paper, for reasons that will be clarified below, our discussion is focussed on the NAHE-based models.…”

Section: Construction Of Phenomenological Modelsmentioning

confidence: 99%

Non-tachyonic semi-realistic non-supersymmetric heterotic-string vacua

et al. 2016

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The heterotic-string models in the free fermionic formulation gave rise to some of the most realistic-string models to date, which possess N = 1 spacetime supersymmetry. Lack of evidence for supersymmetry at the LHC instigated recent interest in non-supersymmetric heterotic-string vacua. We explore what may be learned in this context from the quasi-realistic free fermionic models. We show that constructions with a low number of families give rise to proliferation of a priori tachyon producing sectors, compared to the non-realistic examples, which typically may contain only one such sector. The reason being that in the realistic cases the internal six dimensional space is fragmented into smaller units. We present one example of a quasi-realistic, nonsupersymmetric, non-tachyonic, heterotic-string vacuum and compare the structure of its massless spectrum to the corresponding supersymmetric vacuum. While in some sectors supersymmetry is broken explicitly, i.e. the bosonic and fermionic sectors produce massless and massive states, other sectors, and in particular those leading to the chiral families, continue to exhibit Fermi-Bose degeneracy. In these sectors the massless spectrum, as compared to the supersymmetric cases, will only differ in some local or global U (1) charges. We discuss the conditions for obtaining n b = n f at the massless level in these models. Our example model contains an anomalous U (1) symmetry, which generates a tadpole diagram at one-loop order in string perturbation theory. We speculate that this tadpole diagram may cancel the corresponding diagram generated by the one-loop non-vanishing vacuum energy and that in this respect the supersymmetric and non-supersymmetric vacua should be regarded on an equal footing. Finally we discuss vacua that contain two supersymmetry generating sectors. a

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Classification of standard-like heterotic-string vacua

2018

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We extend the free fermionic classification methodology to the class of standard-like heterotic-string vacua, in which the SO(10) GUT symmetry is broken at the string level to SU(3) × SU(2) × U(1) 2 . The space of GGSO free phase configurations in this case is vastly enlarged compared to the corresponding SO(6) × SO(4) and SU(5) × U(1) vacua. Extracting substantial numbers of phenomenologically viable models therefore requires a modification of the classification methods. This is achieved by identifying conditions on the GGSO projection coefficients, which are satisfied at the SO(10) level by random phase configurations, and that lead to three generation models with the SO(10) symmetry broken to the SU(3) × SU(2) × U(1) 2 subgroup. Around each of these fertile SO(10) configurations, we perform a complete classification of standard-like models, by adding the SO(10) symmetry breaking basis vectors, and scanning all the associated GGSO phases. Following this methodology we are able to generate some 10 7 three generation Standard-like Models. We present the results of the classification and one exemplary model with distinct phenomenological properties, compared to previous SLM constructions. * alon.faraggi@liv.ac.uk † irizos@uoi.gr ‡ Hasan.Sonmez@liv.ac.uk

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Spectral flow as a map between N=(2,0)-models

Cited by 17 publications

References 21 publications

Spinor-Vector Duality and the Swampland

Spinor-Vector Duality and the Swampland

Non-tachyonic semi-realistic non-supersymmetric heterotic-string vacua

Classification of standard-like heterotic-string vacua

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