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.

arXiv commentadded a detailed explanation below equation (2.9) and (4.17)

References in corpus (28)

• Introduction to string field theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Local BRST cohomology in gauge theories
• On Background Independent Open-String Field Theory
• Conformal Higher Spin Theory
• ICTP Lectures on Covariant Quantization of the Superstring
• Effective action in a higher-spin background
• Higher order singletons, partially massless fields and their boundary values in the ambient approach
• Covariant Quantization of the Superparticle Using Pure Spinors
• On the Problems with Background Independence in String Theory
• Parent field theory and unfolding in BRST first-quantized terms
• $L_{\infty }$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
• Lagrange structure and quantization
• Resolving Witten's Superstring Field Theory
• A Worldsheet Theory for Supergravity
• Worldgraph Approach to Yang-Mills Amplitudes from N=2 Spinning Particle
• First order parent formulation for generic gauge field theories
• Yang-Mills Action from Open Superstring Field Theory
• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
• Einstein gravity from the $\mathbb{N}=4$ spinning particle
• Type-B Formal Higher Spin Gravity
• Closed String Cohomology in Open String Field Theory
• A Worldline Theory for Supergravity
• Gauge PDE and AKSZ-type Sigma Models
• The spinning particle with curved target

Cited by in corpus (1)

• Proca Theory from the Spinning Worldline