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.
On the geometry of higher spin gauge fields
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abstract
We review a recent construction of the free field equations for totally symmetric tensors and tensor-spinors that exhibits the corresponding linearized geometry. These equations are not local for all spins >2, involve unconstrained fields and gauge parameters, rest on the curvatures introduced long ago by de Wit and Freedman, and reduce to the local (Fang-)Fronsdal form upon partial gauge fixing. We also describe how the higher-spin geometry is realized in free String Field Theory, and how the gauge fixing to the light cone can be effected. Finally, we review the essential features of local compensator forms for the higher-spin bosonic and fermionic equations with the same unconstrained gauge symmetry.
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A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.
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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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BRST-BV approach to fields in Poincare patch of AdS
A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.
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Flat from AdS: in any dimension and for any spin
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.