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Theorems for the Lightcone Bootstrap

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arxiv 2412.06907 v1 pith:3S6ILQ6J submitted 2024-12-09 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords spectrumtwistalwaysbecomebootstrapcoefficientscompatibleconditions
verification ladder T0 review T1 audit T2 compute T3 formal
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Consider a conformally covariant four-point function of identical scalar operators with a discrete spectrum, a twist gap, and compatible with the unitarity conditions. We give a mathematical proof confirming that the spectrum and OPE coefficients at large spin and fixed twist always become that of a generalized free field theory.

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Cited by 5 Pith papers

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