A String model with SU(4) x O(4) x Sp(4) hidden gauge symmetry

Sep, 1995
12 pages
Published in:
  • Phys.Lett.B 372 (1996) 212-218
e-Print:
Report number:
  • IOA-335-95

Citations per year

199620022008201420190246810
Abstract:
In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic SU(4)×SU(2)L×SU(2)RSU(4)\times SU(2)_L \times SU(2)_R model is proposed with three fermion generations in (4,2,1)+(4ˉ,1,2)(4,2,1)+(\bar 4,1,2) representations. The gauge symmetry of the model breaks to the standard gauge group using a higgs pair in the (4,1,2)+(4ˉ,1,2)(4,1,2)+(\bar 4,1,2) representations. The massless spectrum includes exotic fractionally charged states with non -- trivial transformation properties under part (Sp(4)Sp(4)) of the non -- abelian `hidden' symmetry. Finally there is a mirror pair in (4,2,1),(4ˉ,2,1)(4,2,1) , (\bar 4,2,1) allowing the possibility for an identical running of g4,L,Rg_{4,L,R} couplings between the string and SU(4)SU(4) breaking scales. This is of crucial importance for a successful prediction of the weak mixing angle. Potential shortcomings and problems of the construction are analysed and possible solutions are discussed.
Note:
  • LateX file, 12pp, no figures (Phys.Lett.B) Report-no: IOA-335/95
  • string model: heterotic
  • gauge field theory: SU(4) x O(4)
  • hidden symmetry: Sp(4)
  • fermion: mass
  • mass: fermion
  • group theory: representation
  • Higgs particle: multiplet
  • multiplet: Higgs particle
  • charge: fractional
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