Gauging the superconformal group with a graded dual operator

Journal of High Energy Physics

J. Zanelli¹  R. A. Chavez²  P. D. Alvarez² 

[1] Centro de Estudios Científicos (CECs), Arturo Prat 514, Valdivia, Chile;Departamento de Física, Universidad de Antofagasta, Aptdo. 02800, Antofagasta, Chile;

关键词: Classical Theories of Gravity;    Supergravity Models;    Supersymmetry and Duality;    Supersymmetric Gauge Theory;   

DOI  :  10.1007/JHEP02(2022)111

来源: Springer

【 摘 要 】

Based on the superconformal algebra we construct a dual operator that introduces a grading among bosonic generators independent of the boson/fermion grading of the superalgebra. This dual operator allows us to construct an action that is gauge invariant under the grading even bosonic generators. We provide a self-dual notion based on the dual operator. We use the definition of the dual operator to contruct a model with gauge invariance SO(1, 3) × SU(N) × U(1) ⊂ SU(2, 2|N). The choice of a graded dual operator allows us to overcome technical difficulties of U(N) unified theories based on the superconformal group. The gravity action reproduces the Einstein-Hilbert action in certain sector of the theory. The definition of the dual operator allows us to include fermionic matter in the gauge connection in a geometric manner. We give a summary with possible phenomenological parameters that are included in the model.

【 授权许可】

CC BY