Current trimester: Flavors of Amplitudes
Next trimester (spring): TQFT and Knot Theory, kickoff at IHP: 22.04.2026. More info soon, stay tuned!
Theoretical Physics
Three-point functions in critical loop models
byJesper Jacobsen
Abstract:In two-dimensional models of critical non-intersecting loops, we conjecture an exact formula for three-point functions of fields that insert legs (open loop segments) and can have nonzero conformal spin. The conjecture extends a previous result for diagonal fields, recently proved by Ang-Cai-Sun-Wu, who also proved our conjecture for three spinless two-leg operators. We discuss in details the supporting evidence for our general conjecture coming from transfer-matrix computations using the unoriented Jones-Temperley-Lieb algebra.