Gauge-invariant off-shell actions for 3D massive higher-spin N=2 supermultiplets with central charge are constructed via Kaluza-Klein reduction from 4D massless N=1 supermultiplets, including new massive versions of old and new minimal supergravity.
Massless higher-spin supermultiplets in 5D harmonic superspace
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A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.
Constructs abelian (s,s1,s2) cubic vertices for N=2 higher-spin supermultiplets that exist only for s ≥ s1+s2 and take the universal form of a gauge prepotential coupled to a conserved supercurrent from Weyl supertensors, including a new complex principal supercurrent when s1 ≠ s2.
N=2 abelian higher-spin cubic (s1,s2,s2) vertices have analytic structure fully fixed by the supercurrents J++_{\alpha(s-1)\dot{\alpha}(s-1)}, J^+_{\alpha(s-1)\dot{\alpha}(s-2)} and \bar J^+_{\alpha(s-2)\dot{\alpha}(s-1)} for s1 \ge 2 s2.
A review surveying advancements in 6D N=(1,0) superfield quantum effective actions and off-shell N=2 higher spin formulations using the harmonic superspace approach at BLTP.
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BRST-BV approach to fields in Poincare patch of AdS
A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.