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.
Maxwell-like Lagrangians for higher spins
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abstract
We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless fields produce single-particle actions, while whenever trace constraints can be dispensed with the resulting Lagrangians display the same reducible, multi-particle spectra as those emerging from the tensionless limit of free open-string field theory. For all explored options the corresponding kinetic operators take essentially the same form as in the spin-one, Maxwell case.
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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.
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.
Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.
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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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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.
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Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.