Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces

Abstract

In the context of massless higher spin gauge fields in constant curvature spaces, we compute the surface charges which generalize the electric charge for spin one, the color charges in Yang-Mills theories and the energy-momentum and angular momentum for asymptotically flat gravitational fields. We show that there is a one-to-one map from surface charges onto divergence free Killing tensors. These Killing tensors are computed by relating them to a cohomology group of the first quantized BRST model underlying the Fronsdal action.

21 pages Latex file, references and comment added

References in corpus (6)

• Nonlinear higher spin theories in various dimensions
• Parent field theory and unfolding in BRST first-quantized terms
• Minimal Local Lagrangians for Higher-Spin Geometry
• Conformal Invariance of Partially Massless Higher Spins
• Gauge invariants and Killing tensors in higher-spin gauge theories
• From BRST to light-cone description of higher spin gauge fields

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