No van Dam-Veltman-Zakharov Discontinuity for Supergravity in AdS Space

TL;DR

This paper demonstrates that in N=1 anti-de Sitter supergravity, introducing mass terms results in a smooth limit as the mass approaches zero, avoiding the van Dam-Veltman-Zakharov discontinuity due to the non-zero cosmological constant.

Contribution

It shows that the van Dam-Veltman-Zakharov discontinuity is absent in AdS supergravity with explicit mass terms, contrasting with flat space results.

Findings

No discontinuity in propagators as mass approaches zero in AdS supergravity.

Smooth massless limit established for spin 2 and spin 3/2 fields.

Highlights the role of the cosmological constant in supergravity mass limits.

Abstract

Adding explicit mass terms for the spin 2 and spin 3/2 field of N=1 anti-de Sitter supergravity, the limit M --> 0 for these mass terms is smooth: there is no van Dam-Veltman-Zakharov mass discontinuity in the propagators when the cosmological constant is non-vanishing.