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On the geometry of higher-spin gauge fields

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arxiv hep-th/0212185 v2 pith:YG4GAU3J submitted 2002-12-16 hep-th

On the geometry of higher-spin gauge fields

D. Francia , A. Sagnotti (U. Roma "Tor Vergata") This is my paper
classification hep-th
keywords gaugeequationsgeometryhigher-spinlocalfieldfieldsfixing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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  1. Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets

    hep-th 2026-04 unverdicted novelty 7.0

    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 o...

  2. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 accept novelty 6.5

    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.

  3. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 conditional novelty 6.0

    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.

  4. Flat from AdS: in any dimension and for any spin

    hep-th 2026-06 unverdicted novelty 6.0

    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.