Deformations of polyhedra and polygons by the unitary group

DOI10.1063/1.4840635zbMath1290.83023arXiv1307.2719OpenAlexW2053946598WikidataQ64007766 ScholiaQ64007766MaRDI QIDQ5412793

Etera R. Livine

Publication date: 28 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2719

zbMATH Keywords

polyhedraunitary groupdeformationsspinorspolygonsGrassmannian space

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) General properties and structure of complex Lie groups (22E10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (11)

Closure constraints for hyperbolic tetrahedra ⋮ SO*(2N) coherent states for loop quantum gravity ⋮ Surface state decoherence in loop quantum gravity, a first toy model ⋮ Bubble networks: framed discrete geometry for quantum gravity ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. II: From coherent quantum boundaries to \(BMS_{3}\) characters ⋮ Hamiltonian flows of Lorentzian polyhedra: Kapovich-Millson phase space and SU(1, 1) intertwiners ⋮ Area propagator and boosted spin networks in loop quantum gravity ⋮ Loop quantum gravity boundary dynamics and SL(2,C) gauge theory ⋮ The Ponzano–Regge cylinder and propagator for 3d quantum gravity ⋮ Probing the shape of quantum surfaces: the quadrupole moment operator

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