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We introduce spectral functions that capture the distribution of OPE coefficients and density of states in two-dimensional conformal field theories, and show that nontrivial upper and lower bounds on the spectral function can be obtained from semidefinite programming.
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S. Hellerman, A Universal Inequality for CFT and Quantum Gravity
2011
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D. Poland, D. Simmons-Duffin, and A. Vichi, Carving Out the Space of 4D CFTs
2012
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2012
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C. Beem, L. Rastelli, and B. C. van Rees, The 𝒩 = 4 \mathcal{N}=4 Superconformal Bootstrap
2014
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2014
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2015
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2015
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D. Simmons-Duffin, A Semidefinite Program Solver for the Conformal Bootstrap
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2013
Cited alongside, same era.
D. Friedan and C. A. Keller, Constraints on 2d CFT partition functions
2013
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2013
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F. Kos, D. Poland, and D. Simmons-Duffin, Bootstrapping the O ( N ) O(N) vector models
2014
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2014
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Cited in the paper.
J.-B. Bae and S.-J. Rey, Conformal Bootstrap Approach to O(N) Fixed Points in Five Dimensions
Cited in the paper.
Cited in the paper.
2015
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H. Kim, P. Kravchuk, and H. Ooguri, Reflections on Conformal Spectra
2016
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C.-M. Chang and Y.-H. Lin, Bootstrapping 2D CFTs in the Semiclassical Limit
2016
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C.-M. Chang and Y.-H. Lin, Bootstrap, universality and horizons
2016
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