Journal of High Energy Physics (Oct 2022)

Dispersive sum rules in AdS2

  • Waltraut Knop,
  • Dalimil Mazáč

DOI
https://doi.org/10.1007/JHEP10(2022)038
Journal volume & issue
Vol. 2022, no. 10
pp. 1 – 32

Abstract

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Abstract Dispersion relations for S-matrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules for 1D CFTs. We use them to prove bounds on higher-derivative couplings in weakly-coupled non-gravitational EFTs in AdS2. At the leading order in the bulk-point limit, the bounds agree with the flat-space result. We compute the leading universal effect of finite AdS radius on the bounds. Along the way, we give an explicit formula for anomalous dimensions in general higher-derivative contact Witten diagrams in AdS2.

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