Correlators of currents corresponding to the massive $p$-form fields in AdS/CFT correspondence

TL;DR

This paper computes two-point correlation functions of massive p-form currents in AdS space using the AdS/CFT correspondence, extending known results from the massless case to massive fields.

Contribution

It provides explicit calculations of correlators for massive p-form fields in AdS, filling a gap in the understanding of massive field dynamics in holography.

Findings

Derived the generating functional for massive p-form current correlators.

Confirmed consistency with massless case results when the mass parameter vanishes.

Extended the AdS/CFT correspondence framework to include massive p-form fields.

Abstract

By solving the equations of motion of massive $p$-form potential in Anti-de-Sitter space and using the $AdS/CFT$ correspondence of Maldacena, the generating functional of two-point correlation functions of the currents is obtained. When the mass parameter vanishes the result agrees with the known massless case.