English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We push forward the investigation of holographic dualities in 3D quantumgravity formulated as a topological quantum field theory, studying thecorrespondence between boundary and bulk structures. Working with thePonzano-Regge topological state-sum model defining an exact discretization of3d quantum gravity, we analyze how the partition function for a solid twistedtorus depends on the boundary quantum state. This configuration is relevant tothe AdS${}_{3}$/CFT${}_{2}$ correspondence. We introduce boundary spin networkstates with coherent superposition of spins on a square lattice on the boundarysurface. This allows for the first exact analytical calculation ofPonzano-Regge amplitudes with extended 2D boundary (beyond the singletetrahedron). We get a regularized finite truncation of the BMS characterformula obtained from the one-loop perturbative quantization of 3D gravity.This hints towards the existence of an underlying symmetry and theintegrability of the theory for finite boundary at the quantum level forcoherent boundary spin network states.

Non-Perturbative 3D Quantum Gravity: Quantum Boundary States and Exact Partition Function