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On the fermion spectrum of spontaneously generated fuzzy extra dimensions with fluxes

2009/09/30 by Athanasios Chatzistavrakidis, A. Chatzistavrakidis, Harold Steinacker +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Field (mathematics) #Fuzzy logic #Gauge theory #Neutrino Physics Research #Quantum Chromodynamics and Particle Interactions #Spectrum (functional analysis) #Supersymmetry #Symmetry (geometry) #Zero (linguistics) #hep-th

paper · pdf · doi:10.1002/prop.201000018

published as Fortsch.Phys.58:537-552,2010 · 18 pages, minor changes, references added

arxiv created 2009/10/13 · openalex publication_date 2010/04/13 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract We consider certain vacua of four‐dimensional SU(N) gauge theory with the same field content as the 𝒩 = 4 supersymmetric Yang‐Mills theory, resulting from potentials which break the 𝒩 = 4 supersymmetry as well as its global SO(6) symmetry down to SO(3) × SO(3). We show that the theory behaves at intermediate scales as Yang‐Mills theory on M 4 × S L 2 × S R 2 , where the extra dimensions are fuzzy spheres with magnetic fluxes. We determine in particular the structure of the zero modes due to the fluxes, which leads to low‐energy mirror models.

Citations