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A bstractFor expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel.… Click to show full abstract
A bstractFor expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(2, ℝ)-invariant correlators (also known as 1d CFTs). It also puts on solid ground a part of the lightcone bootstrap analysis of the spectrum of operators of high spin and bounded twist in CFTs in d > 2. In addition, a similar argument controls the spectral density asymptotics in large N gauge theories.
Journal Title: Journal of High Energy Physics
Year Published: 2017
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