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

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) x SO(3). We show that the theory behaves at intermediate scales as Yang-Mills theory on M^4 x S^2 x S^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.

18 pages, minor changes, references added

References in corpus (7)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
• Fermions on spontaneously generated spherical extra dimensions
• Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere
• Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking
• Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
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