Sylvain Carrozza
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View article: A correspondence between quantum error correcting codes and quantum reference frames
A correspondence between quantum error correcting codes and quantum reference frames Open
In a gauge theory, a collection of kinematical degrees of freedom is used to redundantly describe a smaller amount of gauge-invariant information. In a quantum error correcting code (QECC), a collection of computational degrees of freedom …
View article: Edge modes as dynamical frames: charges from post-selection in generally covariant theories
Edge modes as dynamical frames: charges from post-selection in generally covariant theories Open
We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. As such, they enable both the identification of the associated spacetime region and the imposition …
View article: Tensor models and group field theories: combinatorics, large $N$ and renormalization
Tensor models and group field theories: combinatorics, large $N$ and renormalization Open
We provide a brief overview of tensor models and group field theories, focusing on their main common features. Both frameworks arose in the context of quantum gravity research, and can be understood as higher-dimensional generalizations of…
View article: Multiple scaling limits of $\operatorname{U}(N)^2 \times \operatorname{O}(D)$ multi-matrix models
Multiple scaling limits of $\operatorname{U}(N)^2 \times \operatorname{O}(D)$ multi-matrix models Open
We study the double- and triple-scaling limits of a complex multi-matrix model, with \mathrm{U}(N)^2\times \mathrm{O}(D) symmetry. The double-scaling limit amounts to taking simultaneously the large- N (matrix size) and large- D (number of…
View article: Edge modes as dynamical frames: charges from post-selection in generally covariant theories
Edge modes as dynamical frames: charges from post-selection in generally covariant theories Open
We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. They enable the identification of the associated spacetime region and the imposition of boundary co…
View article: Edge modes as reference frames and boundary actions from post-selection
Edge modes as reference frames and boundary actions from post-selection Open
We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region $M$ with a co-dimension o…
View article: Melonic large $N$ limit of $5$-index irreducible random tensors
Melonic large $N$ limit of $5$-index irreducible random tensors Open
We demonstrate that random tensors transforming under rank-$5$ irreducible\nrepresentations of $\\mathrm{O}(N)$ can support melonic large $N$ expansions.\nOur construction is based on models with sextic ($5$-simplex) interaction,\nwhich ge…
View article: Melonic large $N$ limit of $5$-index irreducible random tensors
Melonic large $N$ limit of $5$-index irreducible random tensors Open
We demonstrate that random tensors transforming under rank-$5$ irreducible representations of $\mathrm{O}(N)$ can support melonic large $N$ expansions. Our construction is based on models with sextic ($5$-simplex) interaction, which genera…
View article: On the large <i>D</i> expansion of Hermitian multi-matrix models
On the large <i>D</i> expansion of Hermitian multi-matrix models Open
We investigate the existence and properties of a double asymptotic expansion in 1/N2 and 1/D in U(N) × O(D) invariant Hermitian multi-matrix models, where the N × N matrices transform in the vector representation of O(D). The crucial point…
View article: Progress in Group Field Theory and Related Quantum Gravity Formalisms
Progress in Group Field Theory and Related Quantum Gravity Formalisms Open
Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. G…
View article: Multiple scaling limits of $\mathrm{U}(N)^2 \times \mathrm{O}(D)$ multi-matrix models
Multiple scaling limits of $\mathrm{U}(N)^2 \times \mathrm{O}(D)$ multi-matrix models Open
We study the double- and triple-scaling limits of a complex multi-matrix model, with $\mathrm{U}(N)^2\times \mathrm{O}(D)$ symmetry. The double-scaling limit amounts to taking simultaneously the large-$N$ (matrix size) and large-$D$ (numbe…
View article: Multiple scaling limits of $\mathrm{U}(N)^2 \times \mathrm{O}(D)$ multi-matrix models
Multiple scaling limits of $\mathrm{U}(N)^2 \times \mathrm{O}(D)$ multi-matrix models Open
We study the double- and triple-scaling limits of a complex multi-matrix model, with $\mathrm{U}(N)^2\times \mathrm{O}(D)$ symmetry. The double-scaling limit amounts to taking simultaneously the large-$N$ (matrix size) and large-$D$ (numbe…
View article: SYK-like tensor quantum mechanics with Sp(N) symmetry
SYK-like tensor quantum mechanics with Sp(N) symmetry Open
We introduce a family of tensor quantum-mechanical models based on\nirreducible rank-$3$ representations of $\\mathrm{Sp}(N)$. In contrast to\nirreducible tensor models with $\\mathrm{O}(N)$ symmetry, the fermionic\ntetrahedral interaction…
View article: Renormalizable group field theory beyond melonic diagrams: An example in rank four
Renormalizable group field theory beyond melonic diagrams: An example in rank four Open
We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than meloni…
View article: Asymptotic safety in three-dimensional SU(2) group field theory: evidence in the local potential approximation
Asymptotic safety in three-dimensional SU(2) group field theory: evidence in the local potential approximation Open
International audience
View article: Renormalization in Tensorial Group Field Theories
Renormalization in Tensorial Group Field Theories Open
In this talk, I will review some recent results about the renormalization of Tensorial Group Field Theories.These theories are motivated by an approach to quantum gravity which lies at the crossroad of tensor models and loop quantum gravit…
View article: Flowing in Group Field Theory Space: a Review
Flowing in Group Field Theory Space: a Review Open
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension d≥3.…
View article: Using Grassmann calculus in combinatorics: Lindström-Gessel-Viennot lemma and Schur functions
Using Grassmann calculus in combinatorics: Lindström-Gessel-Viennot lemma and Schur functions Open
Grassmann (or anti-commuting) variables are extensively used in theoretical physics. In this paper we use Grassmann variable calculus to give new proofs of celebrated combinatorial identities such as the Lindström-Gessel-Viennot formula fo…
View article: Using Grassmann calculus in combinatorics: Lindstr\\"om-Gessel-Viennot\n lemma and Schur functions
Using Grassmann calculus in combinatorics: Lindstr\\"om-Gessel-Viennot\n lemma and Schur functions Open
Grassmann (or anti-commuting) variables are extensively used in theoretical\nphysics. In this paper we use Grassmann variable calculus to give new proofs of\ncelebrated combinatorial identities such as the Lindstr\\"om-Gessel-Viennot\nform…