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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 )

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 Zn 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.

© Società Italiana di Fisica, Springer-Verlag 2002