Discrete symmetry and GUT breaking

T. Li

doi:doi:10.1007/s10052-002-0968-0

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C 24, 595-612 (2002)
DOI: 10.1007/s10052-002-0968-0

Discrete symmetry and GUT breaking

T. Li

Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USA

(Received: 12 February 2002 / Published online: 14 June 2002 )

Abstract
We study the supersymmetric GUT models in which the supersymmetry and GUT gauge symmetry can be broken by a discrete symmetry. First, with the ansatz that there exist discrete symmetries in the branes' neighborhoods, we discuss the general reflection Z₂ symmetries and GUT breaking on $M^4\times M^1$ and $M^4\times M^1\times M^1$ . In those models, the extra dimensions can be large and the KK states can be set arbitrarily heavy. Second, considering that the extra space manifold is the annulus A² or the disc D², we can define any Z_n symmetry and break any 6-dimensional N=2 supersymmetric SU(M) models down to the 4-dimensional N=1 supersymmetric $SU(3)\times SU(2)\times U(1)^{M-4}$ models for the zero modes. In particular, there might exist the interesting scenario on $M^4\times A^2$ where just a few KK states are light, while the others are relatively heavy. Third, we discuss the complete global discrete symmetries on $M^4\times T^2$ and study the GUT breaking.