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We define a notion of stability for chiral ring of four dimensional N=1 theory by introducing test chiral rings and generalized a maximization.
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2015
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X. Chen, S. Donaldson, and S. Sun, Kähler-einstein metrics on fano manifolds. ii: Limits with cone angle less than 2 π 2\pi
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X. Chen, S. Donaldson, and S. Sun, Kähler-einstein metrics on fano manifolds. iii: Limits as cone angle approaches 2 π 2\pi and completion of the main proof
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T. C. Collins and G. Székelyhidi, Sasaki-einstein metrics and k-stability
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