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# Proton decay, yukawa couplings and underlying gauge symmetry in string theory

Tatar, Radu and Watari, Taizan (2006) Proton decay, yukawa couplings and underlying gauge symmetry in string theory. Nuclear Physics B, 747 (1-2). pp. 212-265. ISSN 0550-3213

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## Abstract

In 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 (\bar{D},L) are different from \bar{H}(\bar{\bf 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.

Item Type: Article LTH 689. arXiv Number: arXiv:hep-th/0602238v2. Available online 24 May 2006. Issue: 17 July 2006. STANDARD-LIKE MODEL; CALABI-YAU THREEFOLDS; F-THEORY; INTERSECTING D6-BRANES; IIA ORIENTIFOLDS; WEINBERG ANGLE; COMPACTIFICATIONS; UNIFICATION; FORMULATION; MANIFOLDS Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1016/j.nuclphysb.2006.04.025 http://arxiv.org/abs/hep-th/0602238 No Published 381 04 Nov 2008 13:13 20 May 2011 16:14

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