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Four-dimensional asymptotically-free large $N$ gauge theories compactified on $S^3_R \times \mathbb{R}$ have a weakly-coupled confining regime when $R$ is small compared to the strong scale.
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There are branch cuts ambiguities in the definition of γ \gamma , and one can choose it to live in [ 0 , π ] [0,\pi]
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A related but different prescription gives the a a -anomaly coefficient [ 19 , *Giombi:2014yra
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A similar result was discussed in [ 21 ]
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