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.
Three-dimensional (p,q) AdS su- perspaces and matter couplings
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abstract
We introduce N-extended (p,q) AdS superspaces in three space-time dimensions, with p+q=N and p>=q, and analyse their geometry. We show that all (p,q) AdS superspaces with X^{IJKL}=0 are conformally flat. Nonlinear sigma-models with (p,q) AdS supersymmetry exist for p+q<=4 (for N>4 the target space geometries are highly restricted). Here we concentrate on studying off-shell N=3 supersymmetric sigma-models in AdS_3. For each of the cases (3,0) and (2,1), we give three different realisations of the supersymmetric action. We show that (3,0) AdS supersymmetry requires the sigma-model to be superconformal, and hence the corresponding target space is a hyperkahler cone. In the case of (2,1) AdS supersymmetry, the sigma-model target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations of the two-sphere of complex structures.
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Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.
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Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets
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.
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Embedding formalism for anti-de Sitter superspaces
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.