Speaker
Description
Analytic functionals provide a basis for the crossing equation in which the functional coefficients correspond directly to the expansion of conformal blocks in terms of AdS Witten diagrams. This perspective offers a more natural formulation of the conformal bootstrap, both analytically and numerically. Growing evidence suggests that the analytic functional basis is significantly more efficient than the conventional derivative basis implemented by SDPB, opening new avenues for addressing several long-standing challenges in the bootstrap program, including the study of critical gauge theories. In this talk, I will discuss the construction and implementation of analytic functionals in arbitrary spacetime dimensions, with a particular focus on three-dimensional conformal field theories. I will show how this framework can sharpen numerical bootstrap analyses and provide evidence for previously unexplored or potentially new CFTs.