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arXiv · 0912.1456

Large N reduction on group manifolds

Hikaru Kawai·Shinji Shimasaki·Asato Tsuchiya
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Abstract

We show that the large N reduction holds on group manifolds. Large N field theories defined on group manifolds are equivalent to some corresponding matrix models. For instance, gauge theories on S^3 can be regularized in a gauge invariant and SO(4) invariant manner.

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Hikaru Kawai, Shinji Shimasaki, Asato Tsuchiya. 2010-07-30. Large N reduction on group manifolds. https://doi.org/10.1142/s0217751x10049396

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