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Résumé |
In this talk, I will present our upcoming work, which advances the bootstrability
program—a framework where integrability and numerical conformal bootstrap work
together to produce tight bounds on operator product expansion (OPE) coefficients.
Continuing from previous endeavors in bootstrability, our focus remains on the 1D
conformal field theory (CFT) defined on the Maldacena-Wilson line.
We explore a system involving multiple correlators of short multiplets, granting
us access to a richer set of OPE coefficients. The journey begins with determining
the spectrum of long operators in the 1D CFT, which we compute using the Quantum
Spectral Curve. Leveraging discrete symmetries, we simplify the system and
establish selection rules that guide our analysis.
Finally, I will share our findings, where the numerical conformal bootstrap,
enhanced by the integrability-based spectrum, produces bounds of the OPE
coefficients in the multi-correlator system.
This talk is based on joint work with A. Cavaglià, N. Gromov, J. Julius, and M.
Preti. |
