Large N Expansion From Fuzzy AdS_2

TL;DR

This paper investigates the quantum properties of primary fields on fuzzy AdS_2, calculating three-point vertices that demonstrate a 1/N expansion and nonperturbative effects, supporting the model's consistency and introducing new motivations.

Contribution

It provides the first detailed calculation of three-point functions on fuzzy AdS_2, confirming the 1/N expansion and nonperturbative effects, and offers new physical motivations for the model.

Findings

Three-point vertices exhibit 1/N expansion

Identification of nonperturbative effects in large N

Supports the consistency of fuzzy AdS_2 model

Abstract

We study the quantum analogue of primary fields and their descendants on fuzzy AdS_2, proposed in hep-th/0004072. Three-point vertices are calculated and shown to exhibit the conventional 1/N expansion as well as nonperturtive effects in large N, thus providing a strong consistency check of the fuzzy AdS_2 model. A few new physical motivations for this model are also presented.