Dispersive sum rules in AdS2
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 06, 2022
- Source ID
- 10.1007/jhep10(2022)038
Entities
People
- Dalimil Mazáč
- Waltraut Knop