Geometrical Construction of Heterogeneous Loop Amplitudes in 2D Gravity

Details Geometrical Construction of Heterogeneous Loop Amplitudes in 2D Gravity Geometrical Construction of Heterogeneous Loop Amplitudes in 2D Gravity

2002-03-22

arxiv.org/abs/hep-th/0203209v1

Int.J.Mod.Phys. A17 (2002) 4069-4080

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 11 figures

Scientific paper

10.1142/S0217751X02011448

We study a disk amplitude which has a complicated heterogeneous matter configuration on the boundary in a system of the (3,4) conformal matter coupled to two-dimensional gravity. It is analyzed using the two-matrix chain model in the large N limit. We show that the disk amplitude calculated by Schwinger-Dyson equations can completely be reproduced through purely geometrical consideration. From this result, we speculate that all heterogeneous loop amplitudes can be derived from the geometrical consideration and the consistency among relevant amplitudes.

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