230 citations · 2.6k across the 114 of their papers we have counts for
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Emergent 4D Gravity from Matrix Models
Harold Steinacker
Recent progress in the understanding of gravity on noncommutative spaces is discussed. A gravity theory naturally emerges from matrix models of noncommutative gauge theory. The eff…
Nonabelian localization for gauge theory on the fuzzy sphere
Harold Steinacker, Richard J. Szabo
We apply nonabelian equivariant localization techniques to Yang-Mills theory on the fuzzy sphere to write the partition function entirely as a sum over local contributions from cri…
Emergent Gravity from Noncommutative Gauge Theory
Harold Steinacker
We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. Th…
Fermions on spontaneously generated spherical extra dimensions
Harold Steinacker, George Zoupanos
We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and b…
Fuzzy Extra Dimensions: Dimensional Reduction, Dynamical Generation and Renormalizability
P. Aschieri, H. Steinacker, J. Madore +2
We examine gauge theories defined in higher dimensions where theextra dimensions form a fuzzy (finite matrix) manifold. First we reinterpret these gauge theories as four-dimensiona…
Localization for Yang-Mills Theory on the Fuzzy Sphere
Harold Steinacker, Richard J. Szabo
We present a new model for Yang-Mills theory on the fuzzy sphere in which the configuration space of gauge fields is given by a coadjoint orbit. In the classical limit it reduces t…