The nonperturbative Hilbert space of quantum gravity with one boundary

Key Points

• This study aims to establish a basis for the nonperturbative Hilbert space of quantum gravity, particularly focusing on its structure with boundaries.
• Introduced a basis for the nonperturbative Hilbert space of quantum gravity.
• Analyzed the implications of asymptotic boundaries on the Hilbert space structure.
• Examined the factorization of Hilbert spaces corresponding to multiple boundaries.
• Demonstrated that the Hilbert space for gravity with two disconnected boundaries factorizes.
• Showed that this factorization corresponds to two instances of the single boundary Hilbert space.

Abstract