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Quantum geometry from higher gauge theory (Q5162062)

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scientific article; zbMATH DE number 7418420

Language	Label	Description	Also known as
English	Quantum geometry from higher gauge theory	scientific article; zbMATH DE number 7418420

Statements

scholarly article

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Quantum geometry from higher gauge theory (English)

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Bianca Dittrich

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Florian Girelli

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Panagiotis Tsimiklis

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Classical and Quantum Gravity

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publication date

1 November 2021

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full work available at URL

https://arxiv.org/abs/1908.05970

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zbMATH Keywords

higher gauge theory

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quantum geometry

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quantum gravity

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BFCG theory

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topological theory

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MaRDI profile type

MaRDI publication profile

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SPIN foams and canonical quantization

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A note on the secondary simplicity constraints in loop quantum gravity

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Semiclassical mechanics of the Wigner 6<i>j</i>-symbol

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The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphisms

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Holographic description of boundary gravitons in (3+1) dimensions

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Representations of the holonomy algebras of gravity and nonAbelian gauge theories

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Loop Quantum Gravity

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An algebraic extension of Dirac quantization: Examples

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Higher-dimensional algebra and topological quantum field theory

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Infinite-Dimensional Representations of 2-Groups

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An invitation to higher gauge theory

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(Broken) Gauge symmetries and constraints in Regge calculus

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Hidden quantum gravity in 4D Feynman diagrams: emergence of spin foams

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A 2-categorical state sum model

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Relativistic spin networks and quantum gravity

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Semiclassical limits of simplicial quantum gravity

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The Ponzano–Regge model

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Invariants of piecewise-linear 3-manifolds

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Poincaré–Plebański formulation of GR and dual simplicity constraints

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Dirac’s discrete hypersurface deformation algebras

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Bubble divergences from cellular cohomology

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Bubble divergences from twisted cohomology

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Differential geometry of gerbes

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Electric-magnetic duality of lattice systems with topological order

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Divergences and orientation in spinfoams

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Clock and category: Is quantum gravity algebraic?

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From 3D topological quantum field theories to 4D models with defects

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Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases

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Fusion basis for lattice gauge theory and loop quantum gravity

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From gauge to higher gauge models of topological phases

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\((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces

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A new vacuum for loop quantum gravity

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Flux formulation of loop quantum gravity: classical framework

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Quantum gravity kinematics from extended TQFTs

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Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals

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Quasi-local holographic dualities in non-perturbative 3D quantum gravity

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Quasi-local holographic dualities in non-perturbative 3d quantum gravity. II: From coherent quantum boundaries to \(BMS_{3}\) characters

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Canonical simplicial gravity

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From covariant to canonical formulations of discrete gravity

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Phase space descriptions for simplicial 4D geometries

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On the role of the Barbero–Immirzi parameter in discrete quantum gravity

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

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LQG vertex with finite Immirzi parameter

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A Ponzano-Regge model of Lorentzian 3-dimensional gravity

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6 j symbols duality relations

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A new spin foam model for 4D gravity

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Bubble networks: framed discrete geometry for quantum gravity

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Diffeomorphisms and spin foam models

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

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Topological higher gauge theory: From BF to BFCG theory

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On the generality of refined algebraic quantization

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Four-dimensional quantum gravity with a cosmological constant from three-dimensional holomorphic blocks

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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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Exactly soluble diffeomorphism invariant theories

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Euclidean 4-simplices and invariants of four-dimensional manifolds. I: Moves \(3\to 3\)

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Euclidean 4-simplices and invariants of four-dimensional manifolds: II. An algebraic complex and moves \(2\leftrightarrow 4\)

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Euclidean 4-simplices and invariants of four-dimensional manifolds: III. Moves \(1\to 5\) and related structures

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Loop quantum gravity vacuum with nondegenerate geometry

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Lie crossed modules and gauge-invariant actions for 2-BF theories

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Hamiltonian analysis of the <i>BFCG</i> theory for the Poincaré 2-group

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Poincaré 2-group and quantum gravity

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Hamiltonian analysis of the <i>BFCG</i> formulation of general relativity

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Three-dimensional gravity from the Turaev-Viro invariant

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

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EPRL/FK asymptotics and the flatness problem

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The spin-foam approach to quantum gravity

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On the separation of Einsteinian substructures

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Classical \(6j\)-symbols and the tetrahedron

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Linking topological quantum field theory and nonperturbative quantum gravity

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Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity

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Quantum spin dynamics (QSD)

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

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A Hamiltonian lattice formulation of topological gravity

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TQFT’S FROM HOMOTOPY 2-TYPES

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Identifiers

zbMATH Open document ID

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10.1088/1361-6382/aba589

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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:5162062

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