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arXiv · 1805.10743

Equivalence of large-$N$ gauge theories on a group manifold and its coset space

Kohta Hatakeyama·Asato Tsuchiya
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Abstract

It was shown in arXiv:0912.1456 that the large-$N$ reduction holds on group manifolds in the sense that a large-$N$ gauge theory on a group manifold is realized by a matrix model which is obtained by dimensionally reducing the original theory to zero dimension. In this note, generalizing the above statement, we show that a large-$N$ gauge theory on a group manifold is equivalent to a theory which is obtained by reducing the original theory to its coset space. This is analogous to the statement of the large-$N$ reduction on flat spaces that large-$N$ gauge theories are independent of the volume.

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Kohta Hatakeyama, Asato Tsuchiya. 2018-07-02. Equivalence of large-$N$ gauge theories on a group manifold and its coset space. https://doi.org/10.1016/j.physletb.2018.05.065

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