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Discrete symmetry and GUT breaking

Theoretical physics

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 \(Z_2\) 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 \(A^2\) or the disc \(D^2\), 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.

Keywords

Gauge Symmetry Extra Dimension Zero Mode Discrete Symmetry Supersymmetric Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • T. Li
    • 1
  1. 1.Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USA US

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