Reduction of gravity-matter and dS gravity to hypersurface

Understand

The quantization scheme based on reduction of the physical states \cite{Park:2014tia} is extended to two gravity-matter systems and pure dS gravity.

• For the gravity-matter systems we focus on quantization in a flat background for simplicity, and renormalizability is established through gauge-fixing of matter degrees of freedom.
• Quantization of pure dS gravity has several new novel features.
• It is noted that the infrared divergence does not arise in the present scheme of quantization.