Quantum gravity kinematics from extended TQFTs (Q6157621)

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scientific article; zbMATH DE number 7684859

Language	Label	Description	Also known as
English	Quantum gravity kinematics from extended TQFTs	scientific article; zbMATH DE number 7684859

Statements

scholarly article

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Quantum gravity kinematics from extended TQFTs (English)

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Bianca Dittrich

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New Journal of Physics

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publication date

12 May 2023

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full work available at URL

https://arxiv.org/abs/1604.05195

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MaRDI profile type

MaRDI publication profile

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Quantum Gravity

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Background independent quantum gravity: a status report

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Modern Canonical Quantum General Relativity

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Spin foam models

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The spin-foam approach to quantum gravity

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SPIN foams and canonical quantization

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Real and complex connections for canonical gravity

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Representations of the holonomy algebras of gravity and nonAbelian gauge theories

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Projective techniques and functional integration for gauge theories

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Differential geometry on the space of connections via graphs and projective limits

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On loop quantum gravity kinematics with a non-degenerate spatial background

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Loop quantum gravity vacuum with nondegenerate geometry

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The generator of spatial diffeomorphisms in the Koslowski–Sahlmann representation

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The Koslowski–Sahlmann representation: gauge and diffeomorphism invariance

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A new vacuum for loop quantum gravity

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Exactly soluble diffeomorphism invariant theories

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Non-commutative flux representation for loop quantum gravity

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On the space of generalized fluxes for loop quantum gravity

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Time evolution as refining, coarse graining and entangling

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Phase space descriptions for simplicial 4D geometries

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State sum invariants of 3-manifolds and quantum \(6j\)-symbols

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Invariants of piecewise-linear 3-manifolds

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Linking topological quantum field theory and nonperturbative quantum gravity

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Quantum deformation of quantum gravity

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\(\operatorname{SL}(2, \mathbb{C})\) Chern-Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: semiclassical geometry

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Encoding curved tetrahedra in face holonomies: phase space of shapes from group-valued moment maps

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Quantum computation with Turaev-Viro codes

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On the regularization of the constraint algebra of quantum gravity in 2 + 1 dimensions with a nonvanishing cosmological constant

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Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity

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Regge calculus from a new angle

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Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles

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Three-dimensional loop quantum gravity: coupling to point particles

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Three-dimensional loop quantum gravity: Particles and the quantum double

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From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories

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From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors

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Testing the master constraint programme for loop quantum gravity: I. General framework

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The Hilbert space of 3d gravity: quantum group symmetries and observables

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From the discrete to the continuous: towards a cylindrically consistent dynamics

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Fault-tolerant quantum computation by anyons

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Closure constraints for hyperbolic tetrahedra

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Tensor Categories

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)

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Diffeomorphisms and spin foam models

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Three-dimensional loop quantum gravity: physical scalar product and spin-foam models

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Parallelizable implicit evolution scheme for Regge calculus

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Canonical simplicial gravity

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Deformation operators of spin networks and coarse-graining

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Skein theory and Turaev-Viro invariants

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Electric-magnetic duality of lattice systems with topological order

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Tannaka-Kreǐn reconstruction and a characterization of modular tensor categories

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Models for gapped boundaries and domain walls

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SOME UNIVERSAL PROPERTIES OF LEVIN-WEN MODELS

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Identifiers

zbMATH Open document ID

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10.1088/1367-2630/aa54e2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6157621

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