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arXiv · 0908.1711

Large N reduction for Chern-Simons theory on S^3

Goro Ishiki·Shinji Shimasaki·Asato Tsuchiya
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Abstract

We study a matrix model which is obtained by dimensional reduction of Chern-Simon theory on S^3 to zero dimension. We find that expanded around a particular background consisting of multiple fuzzy spheres, it reproduces the original theory on S^3 in the planar limit. This is viewed as a new type of the large N reduction generalized to curved space.

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Goro Ishiki, Shinji Shimasaki, Asato Tsuchiya. 2009-08-24. Large N reduction for Chern-Simons theory on S^3. https://doi.org/10.1103/physrevd.80.086004

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