Large-N reduction for N=2 quiver Chern-Simons theories on S³ and localization in matrix models

الأصل · EN

We study reduced matrix models obtained by the dimensional reduction of N=2 quiver Chern-Simons theories on S³ to zero dimension and show that if a reduced model is expanded around a particular multiple fuzzy sphere background, it becomes equivalent to the original theory on S³ in the large-N limit. This is regarded as a novel large-N reduction on a curved space S³. We perform the localization method to the reduced model and compute the free energy and the vacuum expectation value of a BPS Wilson loop operator. In the large-N limit, we find an exact agreement between these results and those in the original theory on S³.