A toy model for background independent string field theory

Abstract

We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow to systematically reduce the spectrum of fields and subject some of them to dynamical equations of motion. More specifically, we construct a manifestly background-independent extension of the model based on $N=2$ spinning particle. The resulting system describes an on-shell spin-1 field coupled to off-shell background fields including metric and dilaton. Tensoring with a given Lie algebra results in a non-abelian extension of the model.

added a detailed explanation below equation (2.9) and (4.17)

References in corpus (7)

• ICTP Lectures on Covariant Quantization of the Superstring
• Effective action in a higher-spin background
• A Worldsheet Theory for Supergravity
• First order parent formulation for generic gauge field theories
• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Closed String Cohomology in Open String Field Theory
• A Worldline Theory for Supergravity

Cited by in corpus (1)

• Proca Theory from the Spinning Worldline