Asymptotics of \(\mathrm{SL}(2,\mathbb{C})\) coherent invariant tensors
DOI10.1007/s00220-021-04154-3zbMath1484.81037arXiv2011.13909OpenAlexW3214513366WikidataQ114230936 ScholiaQ114230936MaRDI QIDQ2070863
Pietro Donà, Simone Speziale, Pierre Martin-Dussaud, Marco Fanizza
Publication date: 24 January 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13909
Vector fields, frame fields in differential topology (57R25) Quantization of the gravitational field (83C45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Structure and representation of the Lorentz group (22E43) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Formal methods and deformations in algebraic geometry (14D15) Matrix models and tensor models for quantum field theory (81T32)
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- Four-dimensional quantum gravity with a cosmological constant from three-dimensional holomorphic blocks
- The symplectic geometry of polygons in Euclidean space
- \(6j\) symbols for \(u_q(\mathfrak{sl}_2)\) and non-Euclidean tetrahedra
- LQG vertex with finite Immirzi parameter
- Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
- Holomorphic factorization for a quantum tetrahedron
- Clebsch-Gordan coefficients of the SL(2,C) group
- Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
- 2-vertex Lorentzian spin foam amplitudes for dipole transitions
- A primer of group theory for loop quantum gravity and spin-foams
- Semiclassical limits of extended Racah coefficients
- Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory
- Boosting Wigner’s nj-symbols
- Boost matrix elements of the homogeneous Lorentz group
- Asymptotic analysis of the EPRL model with timelike tetrahedra
- Infrared divergences in the EPRL-FK spin foam model
- A spin foam model for general Lorentzian 4-geometries
- SO ( 1 , d + 1 ) Racah coefficients: Type I representations
- A new spin foam model for 4D gravity
- Spin-foams for all loop quantum gravity
- Asymptotics of the Wigner 9 j -symbol
- QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j-SYMBOL
- Lorentzian spin foam amplitudes: graphical calculus and asymptotics
- Asymptotics of 6 j and 10 j symbols
- Asymptotics of relativistic spin networks
- A Lorentzian signature model for quantum general relativity
- SU(2) graph invariants, Regge actions and polytopes
- Generating functions for coherent intertwiners
- Searching for classical geometries in spin foam amplitudes: a numerical method
- Twisted geometries coherent states for loop quantum gravity
- A high-performance code for EPRL spin foam amplitudes
- Clebsch-Gordan Coefficients for the Coupling of SL(2, C) Principal-Series Representations
- Recursion and Symmetry Relations for the Clebsch-Gordan Coefficients of the Homogeneous Lorentz Group
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