Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models

Authors:
  • YAYuhma Asano
    Yuhma Asano
  • GIGoro Ishiki
    Goro Ishiki
  • TOTakashi Okada
    Takashi Okada
  • SSShinji Shimasaki
    Shinji Shimasaki
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Abstract
We study reduced matrix models obtained by the dimensional reduction of N=2 quiver Chern-Simons theories on S^3 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 S^3 in the large-N limit. This is regarded as a novel large-N reduction on a curved space S^3. 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 S^3.