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Matter coupled to 3d Quantum Gravity: One-loop Unitarity
Etera R. Livine, Valentine Maris
We expect quantum field theories for matter to acquire intricate corrections due to their coupling to quantum fluctuations of the gravitational field. This can be precisely worked…
2d Ising Critical Couplings from Quantum Gravity
Valentin Bonzom, Etera R. Livine
Using an exact holographic duality formula between the inhomogeneous 2d Ising model and 3d quantum gravity, we provide a formula for "real" zeroes of the 2d Ising partition functio…
3D Quantum Gravity from Holomorphic Blocks
Etera R. Livine, Qiaoyin Pan
Three-dimensional gravity is a topological field theory, which can be quantized as the Ponzano-Regge state-sum model built from the -symbols of the recoupling of the $\SU(…
Frontiers of Quantum Gravity: shared challenges, converging directions
Jan de Boer, Bianca Dittrich, Astrid Eichhorn +10
Understanding the quantum nature of spacetime and gravity remains one of the most ambitious goals of theoretical physics. It promises to provide key new insights into fundamental p…
The Ponzano-Regge cylinder and Propagator for 3d quantum gravity
Etera R. Livine
We investigate the propagator of 3d quantum gravity, formulated as a discrete topological path integral. We define it as the Ponzano-Regge amplitude of the solid cylinder swept by…
The Quantum Gravity Disk: Discrete Current Algebra
Laurent Freidel, Christophe Goeller, Etera R. Livine
We study the quantization of the corner symmetry algebra of 3d gravity, that is the algebra of observables associated with 1d spatial boundaries. In the continuum field theory, at…
Loop Quantum Gravity Boundary Dynamics and SL(2,C) Gauge Theory
Etera R. Livine
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 dimensi…
Non-Perturbative 3D Quantum Gravity: Quantum Boundary States and Exact Partition Function
Christophe Goeller, Etera R. Livine, Aldo Riello
We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and…
-deformed 3D Loop Gravity on the Torus
Maïté Dupuis, Etera R. Livine, Qiaoyin Pan
The -deformed loop gravity framework was introduced as a canonical formalism for the Turaev-Viro model (with ), allowing to quantize 3D Euclidean gravity with a (negative)…
Gravitational edge modes: From Kac-Moody charges to Poincaré networks
Laurent Freidel, Etera R. Livine, Daniele Pranzetti
We revisit the canonical framework for general relativity in its connection-vierbein formulation, recasting the Gauss law, the Bianchi identity and the space diffeomorphism bulk co…
Quasi-local holographic dualities in non-perturbative 3d quantum gravity
Bianca Dittrich, Christophe Goeller, Etera R. Livine +1
We present a line of research aimed at investigating holographic dualities in the context of three dimensional quantum gravity within finite bounded regions. The bulk quantum geome…
Quasi-local holographic dualities in non-perturbative 3d quantum gravity II - From coherent quantum boundaries to BMS3 characters
Bianca Dittrich, Christophe Goeller, Etera Livine +1
We analyze the partition function of three-dimensional quantum gravity on the twisted solid tours and the ensuing dual field theory. The setting is that of a non-perturbative model…
Quasi-local holographic dualities in non-perturbative 3d quantum gravity I - Convergence of multiple approaches and examples of Ponzano-Regge statistical duals
Bianca Dittrich, Christophe Goeller, Etera Livine +1
This is the first of a series of papers dedicated to the study of the partition function of three-dimensional quantum gravity on the twisted solid torus with the aim to deepen our…
Quantum Surface and Intertwiner Dynamics in Loop Quantum Gravity
Alexandre Feller, Etera R. Livine
We introduce simple generic models of surface dynamics in loop quantum gravity (LQG). A quantum surface is defined as a set of elementary patches of area glued together. We provide…
Some classes of renormalizable tensor models
Joseph Ben Geloun, Etera R. Livine
We identify new families of renormalizable of tensor models from anterior renormalizable tensor models via a mapping capable of reducing or increasing the rank of the theory withou…
Scalar field theory in Snyder space-time: alternatives
Florian Girelli, Etera R. Livine
We construct two types of scalar field theory on Snyder space-time. The first one is based on the natural momenta addition inherent to the coset momentum space. This construction u…
Field theories with homogenous momentum space
Florian Girelli, Etera R. Livine
We discuss the construction of a scalar field theory with momentum space given by a coset. By introducing a generalized Fourier transform, we show how the dual scalar field theory…
Holomorphic Factorization for a Quantum Tetrahedron
Laurent Freidel, Kirill Krasnov, Etera R. Livine
We provide a holomorphic description of the Hilbert space H(j_1,..,j_n) of SU(2)-invariant tensors (intertwiners) and establish a holomorphically factorized formula for the decompo…
Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length
Florian Girelli, Etera R. Livine
Considering that a position measurement can effectively involve a momentum-dependent shift and rescaling of the "true" space-time coordinates, we construct a set of effective space…
The Relativistic Particle: Dirac observables and Feynman propagator
Laurent Freidel, Florian Girelli, Etera R. Livine
We analyze the algebra of Dirac observables of the relativistic particle in four space-time dimensions. We show that the position observables become non-commutative and the commuta…
The Free Particle in Deformed Special Relativity
F. Girelli, T. Konopka, J. Kowalski-Glikman +1
The phase space of a classical particle in DSR contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra c…
3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
Laurent Freidel, Etera R. Livine
We show that the effective dynamics of matter fields coupled to 3d quantum gravity is described after integration over the gravitational degrees of freedom by a braided non-commuta…
Coherent States for 3d Deformed Special Relativity: semi-classical points in a quantum flat spacetime
E. R. Livine, D. Oriti
We analyse the quantum geometry of 3-dimensional deformed special relativity (DSR) and the notion of spacetime points in such a context, identified with coherent states that minimi…
Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
Laurent Freidel, Etera R. Livine
We study the no gravity limit G_{N}-> 0 of the Ponzano-Regge amplitudes with massive particles and show that we recover in this limit Feynman graph amplitudes (with Hadamard propag…