Finite N Hilbert spaces of bilocal holography
Abstract
A bstract For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite N trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite N cut off bounds, implying finiteness of traces and entropy.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Advanced Operator Algebra Research
Quantum many-body systems
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 7
- Publication date
- 9 July 2026
- Language
- EN