Noncommutative $AdS_2$ II: The Correspondence Principle

TL;DR

This paper uses exact solutions of a scalar field in noncommutative $AdS_2$ to derive a two-point function on the boundary, demonstrating conformal invariance and correct limits, advancing the understanding of noncommutative holography.

Contribution

It provides an exact calculation of boundary correlators in noncommutative $AdS_2$, illustrating the application of the $AdS/CFT$ correspondence in this setting.

Findings

Two-point function satisfies conformal invariance

Results have correct commutative and massless limits

Exact solutions enable precise boundary correlator computation

Abstract

Using the exact solutions to the field equation for a massive scalar field on noncommutative $AdS_2$, we apply the $AdS/CFT$ correspondence principle to obtain an exact result for the associated two-point function on the conformal boundary. The answer satisfies conformal invariance and has the correct commutative limit and massless limit.