[HTML][HTML] SL (2, C) Chern–Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: Semiclassical geometry
We study the expectation value of a nonplanar Wilson graph operator in SL (2, C) Chern–
Simons theory on S 3. In particular we analyze its asymptotic behavior in the double-scaling …
Simons theory on S 3. In particular we analyze its asymptotic behavior in the double-scaling …
SU (2) graph invariants, Regge actions and polytopes
We revisit the the large spin asymptotics of 15j symbols in terms of cosines of the 4d
Euclidean Regge action, as derived by Barrett and collaborators using a saddle point …
Euclidean Regge action, as derived by Barrett and collaborators using a saddle point …
Symmetries of quantum spacetime in three dimensions
F Cianfrani, J Kowalski-Glikman, D Pranzetti, G Rosati - Physical Review D, 2016 - APS
By applying loop quantum gravity techniques to 3D gravity with a positive cosmological
constant Λ, we show how the local gauge symmetry of the theory, encoded in the constraint …
constant Λ, we show how the local gauge symmetry of the theory, encoded in the constraint …
[HTML][HTML] Quasi-local holographic dualities in non-perturbative 3d quantum gravity I–Convergence of multiple approaches and examples of Ponzano–Regge statistical …
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 …
dimensional quantum gravity on the twisted solid torus with the aim to deepen our …
Fusion basis for lattice gauge theory and loop quantum gravity
A bstract We introduce a new basis for the gauge-invariant Hilbert space of lattice gauge
theory and loop quantum gravity in (2+ 1) dimensions, the fusion basis. In doing so, we shift …
theory and loop quantum gravity in (2+ 1) dimensions, the fusion basis. In doing so, we shift …
Encoding curved tetrahedra in face holonomies: phase space of shapes from group-valued moment maps
We present a generalization of Minkowski's classic theorem on the reconstruction of
tetrahedra from algebraic data to homogeneously curved spaces. Euclidean notions such as …
tetrahedra from algebraic data to homogeneously curved spaces. Euclidean notions such as …
Quasi-local holographic dualities in non-perturbative 3d quantum gravity
B Dittrich, C Goeller, ER Livine… - Classical and Quantum …, 2018 - iopscience.iop.org
We present a line of research aimed at investigating holographic dualities in the context of
three dimensional quantum gravity within finite bounded regions. The bulk quantum …
three dimensional quantum gravity within finite bounded regions. The bulk quantum …
Bubble networks: framed discrete geometry for quantum gravity
In the context of canonical quantum gravity in 3++ 1 dimensions, we introduce a new notion
of bubble network that represents discrete 3d space geometries. These are natural …
of bubble network that represents discrete 3d space geometries. These are natural …
Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
Three-dimensional (3D) loop quantum gravity with a vanishing cosmological constant can
be related to the quantization of the SU (2) BF theory discretized on a lattice. At the classical …
be related to the quantization of the SU (2) BF theory discretized on a lattice. At the classical …
The Fock space of loopy spin networks for quantum gravity
In the context of the coarse-graining of loop quantum gravity, we introduce loopy and tagged
spin networks, which generalize the standard spin network states to account explicitly for …
spin networks, which generalize the standard spin network states to account explicitly for …