Effective action for higher spin fields on (A)dS backgrounds

Abstract

We study the one loop effective action for a class of higher spin fields by using a first-quantized description. The latter is obtained by considering spinning particles, characterized by an extended local supersymmetry on the worldline, that can propagate consistently on conformally flat spaces. The gauge fixing procedure for calculating the worldline path integral on a loop is delicate, as the gauge algebra contains nontrivial structure functions. Restricting the analysis on (A)dS backgrounds simplifies the gauge fixing procedure, and allows us to produce a useful representation of the one loop effective action. In particular, we extract the first few heat kernel coefficients for arbitrary even spacetime dimension D and for spin S identified by a curvature tensor with the symmetries of a rectangular Young tableau of D/2 rows and [S] columns.

30 pages, typos corrected

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• Mixed symmetry Wilson-loop interactions in the worldline formalism
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• Quantum mechanical path integrals in curved spaces and the type-A trace anomaly
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• Conformal totally symmetric arbitrary spin fermionic fields
• Bose-Einstein condensation temperature of finite systems
• Worldline formalism for a confined scalar field
• Worldline approach for spinor fields in manifolds with boundaries
• $U(N)$ Yang-Mills in non-commutative space time
• Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies
• A Monte Carlo Approach to the Worldline Formalism in Curved Space
• One-loop quantum gravity from a worldline viewpoint
• Spinning Particles in Quantum Mechanics and Quantum Field Theory
• On the simplified path integral on spheres
• Induced Action for Conformal Higher Spins from Worldline Path Integrals
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space
• Virial coefficients expressed by heat kernel coefficients