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Prediction of \(\sin^2\theta_W\) in a conformal approach to coupling unification. (English) Zbl 1078.81586
Summary: The possibility that nonsupersymmetric conformal field theories softly broken below 100 TeV may provide an alternative to conventional grand unification is explored. We consider a low energy theory presumed to be of this type arising from the type IIB superstring compactified on a AdS\(_5\times S_5/\Gamma\) space whose gauge group and the particle content are severely restricted by the compactification process. We present an example of a resulting SU(4)\(_C\times \text{SU}(2)_L\times \text{SU}(2)_R\) with three generations, which leads to coupling unification and a prediction for \(\sin^2\theta_W\simeq 0.227\) and other phenomenology generally consistent with observations.
MSC:
81V22 Unified quantum theories
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