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arXiv · hep-th/9508009

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

M. Anazawa·A. Ishikawa·H. Itoyama
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Abstract

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 $\ell_{i}$ $(i = 1\sim 3)$ 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.

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M. Anazawa, A. Ishikawa, H. Itoyama. 1995-08-03. Macroscopoic Three-Loop Amplitudes and the Fusion Rules from the Two-Matrix Model. https://doi.org/10.1016/0370-2693(95)01180-x

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