Geometry of the four-point correlators
- Chia-Kai Kuo (National Taiwan University, Taiwan)
In this talk, I will reformulate the correlahedron as a loop-geometry over the positive space X_i X_j>0. This clarifies the connection between the geometric form and the O2222 correlator, while manifesting the partial non-renormalization theorem.
This reformulation allows us to invoke the novel idea of "chambers" to study the loop-geometry. We characterize the boundary of the chambers in each loop order and compute its loop-form. We have verified the construction up to L=3