Beyond the Standard Model with Six-Dimensional Spinors

Particles

article

David Chester¹  Alessio Marrani²  Michael Rios¹ 

[1] Quantum Gravity Research;Instituto de Física Teorica, Universidad de Murcia, Campus de Espinardo;Dyonica ICMQG

关键词: beyond the standard model;    graviGUT;    6D spinors;    model building;    representation theory;   

DOI  :  10.3390/particles6010008

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

Six-dimensional spinors with S p i n ( 3 , 3 ) symmetry are utilized to efficiently encode three generations of matter. E8 ( − 24 )is shown to contain physically relevant subgroups with representations for GUT groups, spacetime symmetries, three generations of the standard model fermions, and Higgs bosons. Pati–Salam, S U ( 5 ), and S p i n ( 10 ) grand unified theories are found when a single generation is isolated. For spacetime symmetries, S p i n ( 4 , 2 ) may be used for conformal symmetry, A dS 5→ dS 4 , or simply broken to S p i n ( 3 , 1 ) of a Minkowski space. Another class of representations finds S p i n ( 2 , 2 ) and can give A dS 3with various GUTs. An action for three generations of fermions in the Majorana–Weyl spinor128of S p i n ( 4 , 12 ) is found with S p i n ( 3 ) flavor symmetry inside E8 ( − 24 ) . The 128 of S p i n ( 12 , 4 ) can be regarded as the tangent space to a particular pseudo-Riemannian form of the octo-octonionic Rosenfeld projective planeE8 ( − 24 ) / S p i n( 12 , 4 )=( O s x O ) P 2 .

【 授权许可】

CC BY