Speaker
Description
The squared amplitude has emerged as a remarkable object in both planar N=4 SYM and ABJM theory. In N=4, its duality with Wilson loops and correlators implies that the N-point, L-loop squared amplitude is captured by permutation-invariant f-graphs with N+L points. By analyzing the "cusp limit" of the correlator, we establish a new double-triangle graphical rule that bootstraps f-graph coefficients, allowing us to reach up to 16 points. In ABJM, whether such a duality exists is still unknown. We define the squared amplitude in this setting and show that its integrands can also be packaged into a permutation-invariant generating function with N+L points. Remarkably, this object admits two equivalent descriptions—via planar and bipartite f-graphs. Exploiting this property, together with conjectured graphical rules, we bootstrap the generating function up to 10 points. These results strongly suggest the presence of a correlator dual to the squared amplitude in ABJM.
