Flipped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>string vacua classification: A variation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>10</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>breaking basis ve

Sonmez, Hasan

doi:10.1103/physrevd.93.125002

Cited by 15 publications

(1 citation statement)

References 86 publications

(221 reference statements)

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“…It is hoped that these results will be of direct use to those currently working on grand unified theories [12][13][14][15][16][17][18][19], extra dimensions [20][21][22][23][24], and non-commutative geometry [25][26][27][28][29]. Furthermore, it may lend helpful clues to those working in related fields such as supersymmetry [30][31][32][33][34][35][36], and other topics closely related to the division algebras [37][38][39][40].…”

Section: Introductionmentioning

confidence: 97%

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Furey

2018

Eur. Phys. J. C

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We demonstrate a model which captures certain attractive features of SU (5) theory, while providing a possible escape from proton decay. In this paper we show how ladder operators arise from the division algebras R, C, H, and O. From the SU (n) symmetry of these ladder operators, we then demonstrate a model which has much structural similarity to Georgi and Glashow's SU (5) grand unified theory. However, in this case, the transitions leading to proton decay are expected to be blocked, given that they coincide with presumably forbidden transformations which would incorrectly mix distinct algebraic actions. As a result, we find that we are left withFinally, we point out that if U (n) ladder symmetries are used in place of SU (n), it may then be possible to find this same, together with an extra U (1) X symmetry, related to B − L.

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Section: Introductionmentioning

confidence: 97%

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Furey

2018

Eur. Phys. J. C

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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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Classification of left–right symmetric heterotic string vacua

2018

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The classification method of the free fermionic heterotic string vacua is extended to models where the SO(10) GUT symmetry is broken directly at the string scale to the Left-Right Symmetric subgroup. Our method involves using a fixed set of basis vectors which are defined by the boundary conditions assigned to the free fermions before enumerating the string vacua by varying the Generalised GSO (GGSO) projection coefficients. It allows the derivation of algebraic expressions for the GGSO projections for each sector that generates massless states in the models. This enables a computerised analysis of the entire massless spectrum of a given choice of GGSO projection coefficients. The total number of vacua in the class of models chosen is 2 66 ≈ 7.38 × 10 19 . A statistical sampling is performed and a sample size of 10 11 vacua with the Left-Right Symmetric gauge group is extracted. We present the results of the classification, noting that contrary to the previous classification of Pati-Salam models, no three generation exophobic models were found. The results obtained demonstrate the existence of three generation models with the necessary Higgs representations needed for viable spontaneous symmetry breaking, and with a leading top quark Yukawa

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FlippedSU(5)string vacua classification: A variation of theSO(10)breaking basis ve

Cited by 15 publications

References 86 publications

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Classification of standard-like heterotic-string vacua

Classification of left–right symmetric heterotic string vacua

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