Quasi-local holographic dualities in non-perturbative 3d quantum gravity I – Convergence of multiple approaches and examples of Ponzano–Regge statistical duals
| Autor: | Bianca Dittrich, Aldo Riello, Christophe Goeller, Etera R. Livine |
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| Přispěvatelé: | Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics partition function dimension: 3 FOS: Physical sciences Boundary (topology) torus: twist General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology topological Theoretical physics solids Solid torus 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Boundary value problem 010306 general physics Quantum Physics fuzzy 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Ponzano-Regge model Partition function (mathematics) spin: network duality: holography model: statistical boundary condition Dehn twist High Energy Physics - Theory (hep-th) Quantum electrodynamics [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] lcsh:QC770-798 Quantum gravity Spin network quantum gravity: nonperturbative |
| Zdroj: | Nucl.Phys.B Nucl.Phys.B, 2019, 938, pp.807-877. ⟨10.1016/j.nuclphysb.2018.06.007⟩ Nuclear Physics Nuclear Physics B, Vol 938, Iss, Pp 807-877 (2019) |
| DOI: | 10.1016/j.nuclphysb.2018.06.007⟩ |
| Popis: | This is the first of a series of papers dedicated to the study of the partition function of three-dimensional quantum gravity on the twisted solid torus with the aim to deepen our understanding of holographic dualities from a non-perturbative quantum gravity perspective. Our aim is to compare the Ponzano-Regge model for non-perturbative three-dimensional quantum gravity with the previous perturbative calculations of this partition function. We begin by reviewing the results obtained in the past ten years via a wealth of different approaches, and then introduce the Ponzano--Regge model in a self-contained way. Thanks to the topological nature of three-dimensional quantum gravity we can solve exactly for the bulk degrees of freedom and identify dual boundary theories which depend on the choice of boundary states, that can also describe finite, non-asymptotic boundaries. This series of papers aims precisely at the investigation of the role played by the different quantum boundary conditions leading to different boundary theories. Here, we will describe the spin network boundary states for the Ponzano-Regge model on the twisted torus and derive the general expression for the corresponding partition functions. We identify a class of boundary states describing a tessellation with maximally fuzzy squares for which the partition function can be explicitly evaluated. In the limit case of a large, but finely discretized, boundary we find a dependence on the Dehn twist angle characteristic for the BMS3 character. We furthermore show how certain choices of boundary states lead to known statistical models as dual field theories-but with a twist. 50 pages + appendices; garnished with nice figures |
| Databáze: | OpenAIRE |
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