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Recently, the conformal-bootstrap has been successfully used to obtain generic bounds on the spectrum and OPE coefficients of unitary conformal field theories.
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2011
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A. Vichi, “Improved bounds for CFT’s with global symmetries,” JHEP 1201
2012
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D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP 1205
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S. El-Showk and M. F. Paulos, “Bootstrapping Conformal Field Theories with the Extremal Functional Method,” arXiv: 1211.2810 [hep-th]
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F. Kos, D. Poland and D. Simmons-Duffin, “Bootstrapping the O(N) Vector Models,” arXiv: 1307.6856
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S. El-Showk, M. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, “Conformal Field Theories in Fractional Dimensions,” arXiv: 1309.5089 [hep-th]
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L. F. Alday and A. Bissi, “The superconformal bootstrap for structure constants,” arXiv: 1310.3757 [hep-th]
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2014
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