# The Fock space of loopy spin networks for quantum gravity

@article{Charles2016TheFS, title={The Fock space of loopy spin networks for quantum gravity}, author={Christoph Charles and Etera R. Livine}, journal={General Relativity and Gravitation}, year={2016}, volume={48}, pages={1-79} }

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 non-trivial curvature and torsion. Both structures relax the closure constraints imposed at the spin network vertices. While tagged spin networks merely carry an extra spin at every vertex encoding the overall closure defect, loopy spin networks allow for an arbitrary number of loops attached to each vertex. These…

## 31 Citations

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- PhysicsClassical and Quantum Gravity
- 2019

Quantum states of geometry in loop quantum gravity are defined as spin networks, which are graph dressed with representations. A spin network edge carries a half-integer spin, representing basic…

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- Physics
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Quantum states of geometry in loop quantum gravity are defined as spin networks, which are graph dressed with SU(2) representations. A spin network edge carries a half-integer spin, representing…

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- Physics
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The continuum limit of loop quantum gravity is still an open problem. Indeed, no proper dynamics in known to start with and we still lack the mathematical tools to study its would-be continuum limit.…

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- Physics
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In the context of the quest for a holographic formulation of quantum gravity, we investigate the basic boundary theory structure for loop quantum gravity. In 3 + 1 space-time dimensions, the boundary…

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- 2018

In 2+1 dimensions, gravity is an SU(2) topological gauge theory that can be written as BF theory. In the condensed matter literature, the Hamiltonian realization of BF theory for finite groups is…

Fisher Metric, Geometric Entanglement and Spin Networks

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Starting from recent results on the geometric formulation of quantum mechanics, we propose a new information geometric characterization of entanglement for spin network states in the context of…

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