Abstract:
The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this talk, I will discuss the sine-Gordon RG flows in AdS2, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We will analyze the correlation functions of both breathers and kinks and provide a detailed comparison between numerics and perturbation theory near the UV fixed point. Our bounds are often saturated to a few orders in perturbation theory, as well as in the flat-space limit, but not necessarily in between. If time allows, I will also mention work in progress regarding the generalization to the sinh-Gordon/staircase model and the connection to RG flows between Minimal Models in AdS.
Join Zoom Meeting
https://uni-hamburg.zoom.us/j/69290740393?pwd=TzBiWWM4UVl1MUd4VlJEalQ1Slk2UT09
Meeting ID: 692 9074 0393
Passcode: 58954518