Abstract
We present, for the first time, the complete off-shell 4D,$$ \mathcal{N} $$
N
= 2 superfield actions for any free massless integer spin s ≥ 2 fields, using the $$ \mathcal{N} $$
N
= 2 harmonic super-space approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields $$ {h}_{\alpha \left(s-1\right)\dot{\alpha}\left(s-1\right)}^{++} $$
h
α
s
−
1
α
̇
s
−
1
+
+
, $$ {h}_{\alpha \left(s-2\right)\dot{\alpha}\left(s-2\right)}^{++} $$
h
α
s
−
2
α
̇
s
−
2
+
+
and two conjugated complex analytic spinor superfields $$ {h}_{\alpha \left(s-1\right)\dot{\alpha}\left(s-1\right)}^{+3} $$
h
α
s
−
1
α
̇
s
−
1
+
3
, $$ {h}_{\alpha \left(s-2\right)\dot{\alpha}\left(s-1\right)}^{+3} $$
h
α
s
−
2
α
̇
s
−
1
+
3
, where α(s) := (α1. . . αs),$$ \dot{\alpha} $$
α
̇
(s) := ($$ \dot{\alpha} $$
α
̇
1. . .$$ \dot{\alpha} $$
α
̇
s). Like in the harmonic superspace formulations of $$ \mathcal{N} $$
N
= 2 Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content (s,s−1/2,s−1/2,s−1) is restored. For s = 2 the action describes the linearized version of “minimal” $$ \mathcal{N} $$
N
= 2 Einstein supergravity.
Higher spins from exotic dualisations
