Anomaly Nucleation Constrains SU(2) Gauge Theories

Abstract

We argue for the existence of additional constraints on SU(2) gauge theories in four dimensions when realized in ultraviolet completions admitting an analog of D-brane nucleation. In type II string compactifications these constraints are necessary and sufficient for the absence of cubic non-abelian anomalies in certain nucleated SU(N>2) theories. It is argued that they appear quite broadly in the string landscape. Implications for particle physics are discussed; most realizations of the standard model in this context are inconsistent, unless extra electroweak fermions are added.

4 pages. v2: added references, clarification, and a minor correction

References in corpus (6)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Orientifolds, hypercharge embeddings and the Standard Model
• Matter From Geometry Without Resolution
• Implications of Canonical Gauge Coupling Unification in High-Scale Supersymmetry Breaking

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