Bootstrapping N $$ \mathcal{N} $$ = 4 sYM correlators using integrability
Abstrak
Abstract How much spectral information is needed to determine the correlation functions of a conformal theory? We study this question in the context of planar supersymmetric Yang-Mills theory, where integrability techniques accurately determine the single-trace spectrum at finite ’t Hooft coupling. Corresponding OPE coefficients are constrained by dispersive sum rules, which implement crossing symmetry. Focusing on correlators of four stress-tensor multiplets, we construct combinations of sum rules which determine one-loop correlators, and we study a numerical bootstrap problem that nonperturbatively bounds planar OPE coefficients. We observe interesting cusps at the location of physical operators, and we obtain a nontrivial upper bound on the OPE coefficient of the Konishi operator outside the perturbative regime.
Topik & Kata Kunci
Penulis (4)
Simon Caron-Huot
Frank Coronado
Anh-Khoi Trinh
Zahra Zahraee
Akses Cepat
- Tahun Terbit
- 2023
- Sumber Database
- DOAJ
- DOI
- 10.1007/JHEP02(2023)083
- Akses
- Open Access ✓