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The framework of emergent gravity arising from Yang–Mills matrix models is developed further, for general noncommutative branes embedded in RD. The effective metric on the brane turns out to have a universal form reminiscent of the open string metric, depending on the dynamical Poisson structure and the embedding metric in RD. A covariant form of the tree-level equations of motion is derived, and...
We consider a U(2) Yang–Mills theory on M×SF2 where M is a Riemannian manifold and SF2 is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine the most general SU(2)-equivariant gauge field on M×SF2. This allows us to reduce the Yang–Mills theory on M×SF2 down to an Abelian Higgs-type model over M. Depending on the enforcement (or non-enforcement) of a “constraint” term,...
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