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The existence of a positive linear functional acting on the space of (differences between) conformal blocks has been shown to rule out regions in the parameter space of conformal field theories (CFTs).
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1969
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S. Ferrara, R. Gatto, and A. F. Grillo, Positivity Restrictions on Anomalous Dimensions
1974
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A. M. Polyakov, Nonhamiltonian approach to conformal quantum field theory
1974
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S. Ferrara, R. Gatto, and A. F. Grillo, Properties of Partial Wave Amplitudes in Conformal Invariant Field Theories
1975
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F. Dolan and H. Osborn, Conformal four point functions and the operator product expansion
2001
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F. Dolan and H. Osborn, Conformal partial waves and the operator product expansion
2004
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R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, Bounding scalar operator dimensions in 4D CFT
F. Caracciolo and V. S. Rychkov, Rigorous Limits on the Interaction Strength in Quantum Field Theory
2010
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M. S. Costa, J. Penedones, D. Poland, and S. Rychkov, Spinning Conformal Blocks
2011
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R. Rattazzi, S. Rychkov, and A. Vichi, Central Charge Bounds in 4D Conformal Field Theory
2011
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R. Rattazzi, S. Rychkov, and A. Vichi, Bounds in 4D Conformal Field Theories with Global Symmetry
2011
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2008
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V. S. Rychkov and A. Vichi, Universal Constraints on Conformal Operator Dimensions
2009
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P. Di Francesco, P. Mathieu, and D. Senechal, Conformal field theory
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D. Simmons-Duffin, Projectors, Shadows, and Conformal Blocks
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D. Poland, D. Simmons-Duffin, and A. Vichi, Carving Out the Space of 4D CFTs
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P. Liendo, L. Rastelli, and B. C. van Rees, The Bootstrap Program for Boundary CFT_d
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2012
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2012
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