3D Quantum Gravity from Holomorphic Blocks

Autor: Etera R. Livine, Qiaoyin Pan

Publikováno v: Phys.Rev.D
Phys.Rev.D, 2023, 107 (6), pp.066001. ⟨10.1103/PhysRevD.107.066001⟩
Physical Review

Three-dimensional gravity is a topological field theory, which can be quantized as the Ponzano-Regge state-sum model built from the $\{3nj\}$-symbols of the recoupling of the $\SU(2)$ representations, in which spins are interpreted as quantized edge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f566ee6e7806112b5ad35a02e06766ce
https://hal.science/hal-03833003

Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function

Autor: Aldo Riello, Christophe Goeller, Etera R. Livine

Publikováno v: General Relativity and Gravitation
General Relativity and Gravitation, Springer Verlag, 2020, 52 (3), ⟨10.1007/s10714-020-02673-3⟩
Gen.Rel.Grav.
Gen.Rel.Grav., 2020, 52 (3), pp.24. ⟨10.1007/s10714-020-02673-3⟩

We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and bulk structures. Working with the Ponzano-Regge topological state-sum

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67dc60868dcad473e53dfac24d424d2f
https://hal.archives-ouvertes.fr/hal-02991976

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Quasi-local holographic dualities in non-perturbative 3d quantum gravity II – From coherent quantum boundaries to BMS$_3$ characters

Autor: Etera R. Livine, Christophe Goeller, Bianca Dittrich, Aldo Riello

Publikováno v: Nucl.Phys.B
Nucl.Phys.B, 2019, 938, pp.878-934. ⟨10.1016/j.nuclphysb.2018.06.010⟩
Nuclear Physics B, Vol 938, Iss, Pp 878-934 (2019)

We analyze the partition function of three-dimensional quantum gravity on the twisted solid tours and the ensuing dual field theory. The setting is that of a non-perturbative model of three dimensional quantum gravity--the Ponzano-Regge model, that w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96d64b18a842b1a3e27e1b50272fffc0
https://hal.science/hal-01974760

3d Quantum Gravity: Coarse-Graining and $q$-Deformation

Autor: Livine , Etera

Publikováno v: Annales Henri Poincare
Annales Henri Poincare, 2017, 18 (4), pp.1465-1491. 〈10.1007/s00023-016-0535-0〉

International audience; The Ponzano–Regge state-sum model provides a quantization of 3d gravity as a spin foam, providing a quantum amplitude to each 3d triangulation defined in terms of the 6j-symbol (from the spin-recoupling theory of $\mathrm {S

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3379::baeaec8f7d589ac499ca72a58912efc5
https://hal.archives-ouvertes.fr/hal-01554519