Real-time correlators in warped AdS/CFT correspondence

TL;DR

This paper computes real-time correlators in warped AdS/CFT, confirming the duality's predictions and demonstrating the effectiveness of standard AdS/CFT methods in anisotropic backgrounds.

Contribution

It applies the usual AdS/CFT prescription to warped backgrounds, providing evidence for the warped AdS/CFT correspondence and extending the method's applicability.

Findings

Retarded Green's functions match dual CFT predictions.

Results support warped AdS/CFT conjecture.

Standard AdS/CFT prescription remains effective in warped geometries.

Abstract

We study real-time correlators in the warped AdS/CFT correspondence. We apply the prescription used in the usual AdS/CFT correspondence and obtain the retarded Green's functions for the scalar and vector fields in the spacelike warped and the null warped black hole backgrounds. We find that the retarded Green's functions and the cross sections are well consistent with the predictions from dual CFT. Our results not only support strongly the conjectured warped AdS/CFT correspondence, but also show that the usual relativistic AdS/CFT prescription of obtaining the real-time correlators remain effective in more general backgrounds with anisotropic conformal infinity.