Gluing branes — II: flavour physics and string duality

• Published in: The journal of high energy physics Vol. 2013; no. 5; pp. 1 - 50
• Main Authors: Donagi, Ron, Wijnholt, Martijn
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.05.2013; Springer Nature B.V
• Subjects: Branes; Classical and Quantum Gravitation; Elementary Particles; Flavours; Gluing; High energy physics; Mathematical analysis; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Strings; Surface layer; Texture; Superstring Vacua; F-Theory; String Duality; GUT
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP05(2013)092

A bstract Recently we discussed new aspects of degenerate brane configurations, which can appear in the context of heterotic strings, perturbative type II, or M / F -theory. Here we continue our study of degenerate brane configurations, focussing on two applications. First we show how the notion of gluing can be viewed as a tool to engineer flavour structures in F -theory and type IIb, such as models with bulk matter and with Yukawa textures arising from the holomorphic zero mechanism. We find that there is in principle enough structure to solve some of the major flavour problems without generating exotics. In particular, we show how this addresses the μ -problem, doublet/triplet splitting and proton decay. Secondly, we describe the Fourier-Mukai transform of heterotic monad constructions, which occur in the large volume limit of heterotic linear sigma model vacua. Degenerate structures again often appear. One may use this to explore strong coupling phenomena using heterotic/ F -theory duality.