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/

Zendy Plus

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

Zendy Tools

Zendy Open

We analyze the partition function of three-dimensional quantum gravity on thetwisted solid tours and the ensuing dual field theory. The setting is that of anon-perturbative model of three dimensional quantum gravity--the Ponzano-Reggemodel, that we briefly review in a self-contained manner--which can be used tocompute quasi-local amplitudes for its boundary states. In this second paper ofthe series, we choose a particular class of boundary spin-network states whichimpose Gibbons-Hawking-York boundary conditions to the partition function. Thepeculiarity of these states is to encode a two-dimensional quantum geometrypeaked around a classical quadrangulation of the finite toroidal boundary.Thanks to the topological properties of three-dimensional gravity, the theoryeasily projects onto the boundary while crucially still keeping track of thetopological properties of the bulk. This produces, at the non-perturbativelevel, a specific non-linear sigma-model on the boundary, akin to aWess-Zumino-Novikov-Witten model, whose classical equations of motion can beused to reconstruct different bulk geometries: the expected classical one isaccompanied by other "quantum" solutions. The classical regime of thesigma-model becomes reliable in the limit of large boundary spins, whichcoincides with the semiclassical limit of the boundary geometry. In a 1-loopapproximation around the solutions to the classical equations of motion, werecover (with corrections due to the non-classical bulk geometries) resultsobtained in the past via perturbative quantum General Relativity and throughthe study of characters of the BMS3 group. The exposition is meant to becompletely self-contained.

Quasi-local holographic dualities in non-perturbative 3d quantum gravity II - From coherent quantum boundaries to BMS3 characters