Macroscopoic Three-Loop Amplitudes and the Fusion Rules from the Two-Matrix Model

الأصل · EN

From the computation of three-point singlet correlators in the two-matrix model, we obtain an explicit expression for the macroscopic three-loop amplitudes having boundary lengths ℓᵢ (i = 1 3) in the case of the unitary series (p,q)= (m+1,m) coupled to two-dimensional gravity. The sum appearing in this expression is found to conform to the structure of the CFT fusion rules while the summand factorizes through a product of three modified Bessel functions. We briefly discuss a possible generalization of these features to macroscopic n-loop amplitudes.