A Worldline Theory for Supergravity

Abstract

The $\mathcal{N}=4$ supersymmetric spinning particle admits several consistent quantizations, related to the gauging of different subgroups of the $SO(4)$ $R$-symmetry on the worldline. We construct the background independent BRST quantization for all of these choices which are shown to reproduce either the massless NS-NS spectrum of the string, or Einstein theory with or without the antisymmetric tensor field and/or dilaton corresponding to different restrictions. Quantum consistency of the worldline implies equations of motion for the background which, in addition to the admissible string backgrounds, admit Einstein manifolds with or whithout a cosmological constant. The vertex operators for the Kalb-Ramond, graviton and dilaton fields are obtained from the linear variations of the BRST charge. They produce the physical states by action on the diffeomorphism ghost states.

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• Gauge PDE and AKSZ-type Sigma Models
• One-loop quantum gravity from the N=4 spinning particle
• Deformed graded Poisson structures, Generalized Geometry and Supergravity

Cited by in corpus (13)

• Classical black hole scattering from a worldline quantum field theory
• The Gauge Structure of Double Field Theory follows from Yang-Mills Theory
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• A toy model for background independent string field theory
• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• Gauge-invariant coefficients in perturbative quantum gravity
• Beta functions for the duality-invariant sigma model
• Duality and higher Buscher rules in p-form gauge theory and linearized gravity
• Lectures in Quantum Gravity
• Proca Theory from the Spinning Worldline
• Bouncing Dark Matter
• A Monte Carlo Approach to the Worldline Formalism in Curved Space
• Spin fields for the spinning particle