Duality invariance of $s \ge 3/2$ fermions in AdS

TL;DR

This paper demonstrates that partially massless fermions with spin s ≥ 3/2 in AdS space preserve their duality invariance, similar to flat space, by decomposing into effectively massless helicity modes.

Contribution

It shows that in AdS, partially massless fermions maintain duality invariance through specific mass ratios, decomposing into massless helicity modes.

Findings

Partially massless fermions in AdS retain duality invariance.

Helicity modes are separately duality invariant.

Decomposition into effectively massless excitations occurs at specific mass ratios.

Abstract

We show that in D=4 AdS, $s\ge 3/2$ partially massless (PM) fermions retain the duality invariances of their flat space massless counterparts. They have tuned ratios $ {m^2}/{M^2}\ne 0$ that turn them into sums of effectively massless unconstrained helicity $\pm(s,\cdots,\frac{3}{2})$ excitations, shorn of the lowest (non-dual)\helicity $\pm \frac{1}{2}$-rung and -more generally- of succeeding higher rung as well. Each helicity mode is separately duality invariant, like its flat space counterpart.