AdS/dS CFT Correspondence

TL;DR

This paper proposes a holographic duality between type IIB superstring theory on AdS_5 x S^5 and N=4 superconformal Yang-Mills theory on dS_4, verifying boundary correlation functions and exploring integrability.

Contribution

It introduces a novel AdS/dS holographic correspondence and analyzes the boundary correlation functions within this framework.

Findings

Boundary correlation functions match dS conformal field theory expectations.

The gauge theory is UV finite and exhibits SL(2,Z) duality.

The superconformal Yang-Mills theory is likely integrable.

Abstract

We propose and study a holographic dual of the type IIB superstring theory of AdS_5 x S^5 in terms of the N=4 superconformal Yang-Mills theory on dS_4. We use the bulk to boundary formalism to evaluate the boundary correlation functions and verify that it agrees with the expected result in dS conformal field theory. The gauge theory is expected to be UV finite and enjoy exact SL(2,Z) strong-weak duality. As the string theory Green-Schwarz sigma model carries an infinite number of classically conserved charges, it also suggest that the superconformal Yang-Mills theory is integrable and deserves further studies.