Erratum: Discrete finite nilpotent Lie analogs: New models for unified gauge field theory

Gauge Field Theory Models

Models for Free Nilpotent Lie Algebras

If a Lie algebra g can be generated by M of its elements E1, . . . , EM , and if any other Lie algebra generated by M other elements F1, . . . , FM is a homomorphic image of g under the map Ei → Fi, we say that it is the free Lie algebra on M generators. The free nilpotent Lie algebra gM,r on M generators of rank r is the quotient of the free Lie algebra by the ideal gr+1 generated as follows: ...

Discrete gauge symmetries in supersymmetric grand unified models.

We investigate the presence of discrete gauge symmetries in Grand Unification models based in SO(10) and E 6. These models include find the U (1) subalgebras contained in the unified groups, give an expression for the Higgs fields that preserve each discrete symmetry, and determine the low-energy matter content implied by chirality. We discuss two Z 2 and three Z 3 nonequivalent cases. Among th...

Gauge - Yukawa Unified Models

Gauge-Yukawa Unification (GYU) is obtained in GUTs by searching for renormalization group invariant relations among gauge and Yukawa couplings beyond the unification scale. Of particular interest are two supersymmetric GUTs, the finite and the minimal SU (5) models. Both models provided us,among others,with predictions of the top quark mass which so far have passed successfully the tests of pro...

Unified Gauge Field Theoryand Topologicaltransitions

X iv :h ep -t h/ 04 06 04 9v 1 4 J un 2 00 4 UNIFIED GAUGE FIELD THEORYAND TOPOLOGICALTRANSITIONS AJAY PATWARDHAN Physics Department ,St Xavier’s College, Mahapalika Marg, Mumbai, India [email protected] Visitor, Institute of Mathematical sciences, Chennai, India ABSTRACT The search for a Unified description of all interactions has created many developments of mathematics and physics. The role o...