``Theory of Theories'' Approach to String Theory
H. Hata

TL;DR
The paper introduces a novel formulation of gauge theories as a quantum system with the gauge action as a dynamical variable, leading to a topological field theory-like structure that can reproduce standard gauge theories and aims to be applied to string field theory.
Contribution
It presents a new 'theory of theories' framework where gauge actions are quantized as dynamical variables, providing a potential foundation for closed string field theory.
Findings
Reproduces ordinary gauge theories via path-integral dominated by classical solutions.
Formulation reduces to a topological field theory upon quantization.
Provides a new perspective for formulating string field theory.
Abstract
We propose a new formulation of gauge theories as a quantum theory which has the gauge theory action as its dynamical variable. This system is described by a simple actional (that is, an action for the action ) whose equation of motion gives the Batalin-Vilkovisky (BV) master equation for . Upon quantization we find that our new formulation is reduced to something like a topological field theory having a BRST exact gauge-fixed actional. Therefore the present formulation can reproduce ordinary gauge theories since the path-integral over is dominated by the classical configuration which satisfies the BV master equation. This ``theory of theories'' formulation is intended to be applied to closed string field theory.
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