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29 March 2024
 
  » arxiv » hep-th/0602238

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Proton Decay, Yukawa Couplings and Underlying Gauge Symmetry in String Theory
Radu Tatar ; Taizan Watari ;
Date 23 Feb 2006
AbstractIn string theory, massless particles often originate from a symmetry breaking of a large gauge symmetry G to its subgroup H. The absence of dimension-4 proton decay in supersymmetric theories suggests that (ar{D},L) are different from ar{H}(ar{f 5}) in their origins. In this article, we consider a possibility that they come from different irreducible components in $mathfrak{g}/mathfrak{h}$. Requiring that all the Yukawa coupling constants of quarks and leptons be generated from the super Yang--Mills interactions of G, we found in the context of Georgi--Glashow H=SU(5) unification that the minimal choice of G is E_7 and E_8 is the only alternative. This idea is systematically implemented in Heterotic String, M theory and F theory, confirming the absence of dimension 4 proton decay operators. Not only H=SU(5) but also G constrain operators of effective field theories, providing non-trivial information.
Source arXiv, hep-th/0602238
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