SO*(2N) coherent states for loop quantum gravity
From MaRDI portal
Publication:5354885
DOI10.1063/1.4993223zbMath1370.83028arXiv1701.07519OpenAlexW2581129353MaRDI QIDQ5354885
Giuseppe Sellaroli, Florian Girelli
Publication date: 5 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.07519
Quantization of the gravitational field (83C45) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum state spaces, operational and probabilistic concepts (81P16)
Related Items (6)
Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function ⋮ Bubble networks: framed discrete geometry for quantum gravity ⋮ Hamiltonian flows of Lorentzian polyhedra: Kapovich-Millson phase space and SU(1, 1) intertwiners ⋮ Loop quantum gravity boundary dynamics and SL(2,C) gauge theory ⋮ Quantum Klein space and superspace ⋮ Probing the shape of quantum surfaces: the quadrupole moment operator
Cites Work
- Unnamed Item
- Unnamed Item
- Duality between spin networks and the 2D Ising model
- Ising model from intertwiners
- The symplectic geometry of polygons in Euclidean space
- Coherent states for arbitrary Lie group
- Spinor representation for loop quantum gravity
- Holomorphic simplicity constraints for 4D spinfoam models
- The remarkable algebra so*(2n), its representations, its Clifford algebra and potential applications
- Convex Polyhedra
- Generating functions for coherent intertwiners
- Wigner–Eckart theorem for the non-compact algebra 𝔰𝔩(2, ℝ)
- The fine structure of SU(2) intertwiners from U(N) representations
- U(N) coherent states for loop quantum gravity
- U( N ) tools for loop quantum gravity: the return of the spinor
- A discrete and coherent basis of intertwiners
- On the exact evaluation of spin networks
- Deformations of polyhedra and polygons by the unitary group
- Reconstructing quantum geometry from quantum information: spin networks as harmonic oscillators
- Lie algebras and applications
This page was built for publication: SO*(2N) coherent states for loop quantum gravity