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Sylvain Carrozza

Portrait de Sylvain Carrozza
Phd: Universite of Paris Sud 2013

Area of Research:
Phone: (519) 569-7600 x8551

Research Interests

General research interests:

- Quantum gravity
- Quantum field theory and renormalization
- Interplay between quantum foundations, quantum information and quantum gravity
- Interplay between mathematical physics and combinatorics

My main research interests lie at the crossroad of quantum gravity and quantum field theory, with a particular emphasis on Group Field Theory (GFT) and Tensor Models (TM). These closely related approaches to quantum gravity can most easily be understood as generalizations of Matrix Models to space-time dimensions d>2. They are statistical / quantum theories of tensor-like objects, whose Feynman diagrams can be canonically associated with discrete geometries. Henceforth, these models can be understood as theories of random / quantum geometries and can be taken advantage of to investigate the quantum dynamics of space-time. Furthermore, the GFT formalism can be viewed as a tentative completion of non-perturbative approaches to quantum gravity such as Loop Quantum Gravity and Spin Foam models. It provides additional technical and conceptual tools which may help understand their dynamics. In the past years, I have myself been focused on how to generalize standard renormalization group methods to GFT, and how to use them to extract the effective large scale dynamics of Spin Foam models.

More recently, I got interested in a newly discovered connection between tensor models and so-called Sachdev-Ye-Kitaev (SYK) models. The latter are quantum-mechanical models (or QFTs in 0+1 dimensions) which describe many-body systems of fermions with random and all-to-all interactions. They have been shown to develop an emergent conformal symmetry in the strongly coupled regime, and have therefore been proposed as simple models of AdS/CFT in 1+1 space-time dimensions. Interestingly, the main reason why SYK models are solvable (in the large N limit) is because they are dominated by the same simple Feynman diagrams as tensor models (and GFTs), the so-called melonic graphs. This has led to exciting new applications of tensor models to the gauge/gravity duality.

Finally, I am fascinated by recent developments at the interface between quantum gravity and quantum information, which I am also working on whenever I find the time to.

Positions Held

  • Since 2016: Perimeter Institute for Theoretical Physics, Postdoctoral Fellow
  • 2015 - 2016: LaBRI, University of Bordeaux, Postdoctoral Fellow
  • 2013 - 2015: Centre de Physique Théorique, University of Marseille, Postdoctoral Fellow
  • 2010 - 2013: Laboratoire de Physique Théorique d'Orsay, University of Paris South, PhD Student and Teaching Assistant
  • 2010 - 2013: Albert Einstein Institute, Potsdam-Golm, PhD Student


  • 2014: Springer Theses award, leading to publication of Ph.D. thesis by Springer.

Recent Publications

  • S. Carrozza, F. Ferrari, A. Tanasa, G. Valette, On the large D expansion of Hermitian multi-matrix models, Journal of Mathematical Physics 61 (2020), arXiv: 2003.04152 [hep-th]
  • D. Benedetti, S. Carrozza, R. Toriumi, G. Valette, Multiple scaling limits of U(N)^2 × O(D) multi-matrix models, arXiv: 2003.02100 [math-ph]
  • S. Carrozza, S. Gielen, D. Oriti, Editorial for the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms", Universe 6 (2020) no.1, 19, arXiv: 2001.08428 [gr-qc]
  • S. Carrozza and V. Pozsgay, "SYK-like tensor quantum mechanics with Sp(N) symmetry", Nucl. Phys. B 941 (2019), arXiv: 1809.07753 [hep-th]
  • S. Carrozza, "Large N limit of irreducible tensor models: O(N) rank-3 tensors with mixed permutation symmetry", JHEP 1806 (2018) 039, arXiv: 1803.02496 [hep-th]
  • D. Benedetti, S. Carrozza, R. Gurau, M. Kolanowski, "The 1/N expansion of the symmetric traceless and the antisymmetric tensor models in rank three", to appear in Commun. Math. Phys., arXiv: 1712.00249 [hep-th]
  • D. Benedetti, S. Carrozza, R. Gurau, A. Sfondrini, "Tensorial Gross-Neveu models", JHEP 1801 (2018) 003, arXiv: 1710.10253 [hep-th]
  • S. Carrozza, V. Lahoche, D. Oriti, "Renormalizable Group Field Theory beyond melons: an example in rank four", Phys. Rev. D96 (2017) no.6, 066007, arXiv: 1703.06729 [gr-qc]
  • S. Carrozza, V. Lahoche, "Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation", Class. Quantum Grav. 34 (2017) 115004, arXiv: 1612.02452 [hep-th]
  • S. Carrozza, A. Tanasa, "Pfaffians and nonintersecting paths in graphs with cycles: Grassmann algebra methods", Adv. Appl. Math. 93 (2018) 108-120, arXiv: 1611.04889 [math.CO]
  • M. P. Mueller, S. Carrozza, P. A. Hoehn, "Is the local linearity of space-time inherited from the linearity of probabilities?", J. Phys. A: Math. Theor. 50 (2017) 054003, arXiv: 1608.08684 [gr-qc]
  • S. Carrozza, T. Krajewski, A. Tanasa, "Using Grassmann calculus in combinatorics: Lindström-Gessel-Viennot lemma and Schur functions", Proceedings of GAScom 2016, Electronic Notes in Discrete Mathematics, arXiv: 1604.06276 [math.CO]
  • S. Carrozza, "Flowing in group field theory space: a review", SIGMA 12 (2016) 070, arXiv: 1603.01902 [gr-qc]
  • S. Carrozza, A. Tanasa, "O(N ) Random Tensor Models", Lett. Math. Phys. 106 (2016) no.11, 1531-1559, arXiv :1512.06718 [math-ph]
  • S. Carrozza, "Group Field Theory in dimension four minus epsilon", Phys. Rev. D 91, 065023 (2015), arXiv: 1411.5385 [hep-th]
  • S. Carrozza, "Discrete Renormalization Group for SU(2) Tensorial Group Field Theory", Ann. Inst. Henri Poincaré Comb. Phys. Interact. 2, 49-112 (2015), arXiv: 1407.4615 [hep-th]
  • A. Baratin, S. Carrozza, D. Oriti, J. Ryan and M. Smerlak, "Melonic phase transition in group field theory", Lett. Math. Phys. 104, 1003 (2014), arXiv: 1307.5026 [hep-th]
  • S. Carrozza, D. Oriti and V. Rivasseau, "Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions", Commun. Math. Phys. 330, 581 (2014), arXiv: 1303.6772 [hep-th]
  • S. Carrozza, D. Oriti and V. Rivasseau, "Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions", Commun. Math. Phys. 327, 603 (2014), arXiv :1207.6734 [hep-th]
  • S. Carrozza and D. Oriti, "Bubbles and jackets : new scaling bounds in topological group field theories", JHEP 1206, 092 (2012), arXiv: 1203.5082 [hep-th]
  • S. Carrozza, "Singular topologies in the Boulatov model", J. Phys. Conf. Ser. 360, 012045 (2012), arXiv: 1112.2886 [gr-qc]
  • S. Carrozza and D. Oriti, "Bounding bubbles : the vertex representation of 3d Group Field Theory and the suppression of pseudo-manifolds", Phys. Rev. D 85, 044004 (2012), arXiv: 1104.5158 [hep-th]
  • S. Carrozza, S. Gielen, D. Oriti (Eds.), "Progress in Group Field Theory and Related Quantum Gravity Formalisms", special issue of the journal Universe, https://www.mdpi.com/journal/universe/special_issues/GFT
  • S. Carrozza, "Tensorial Methods and Renormalization in Group Field Theories", Springer Theses, Springer (2014), arXiv: 1310.3736 [hep-th]


  • Upcoming: plenary talk at Quantum Gravity 2020, Perimeter Institute, July 2020.
  • Multiple scaling limits of U(N)^2×O(D) multi-matrix models, Tensor Journal Club (https://indico.math.cnrs.fr/category/415/), April 2020.
  • The melonic large-N limit: from SYK to tensor field theory, SIFT 2019: Strongly-Interacting Field Theories, Jena, Germany, Nov 2019.
  • Melonic limits and applications, First French-German Meeting in Physics, Mathematics and Artificial Intelligence Theory, Paris, France, Nov 2019.
  • Melonic field theories and holography, Loops '19, Penn State University, USA, June 17-21 2019
  • Large N limit of irreducible tensor models, invited talk at Third French-Russian conference on Random Geometry and Physics, Moscow, June 3-7th 2019
  • Melonic large N limits, invited talk at Quantum Gravity in Paris, France, April 15th-19th 2019
  • Tensor models: from random geometry to holography, invited seminar at University of Paris 7, April 9th 2019
  • Thermodynamics and Statistical Physics, 30h course jointly taught with Philipp Hoehn (University of Vienna), AIMS Senegal, Nov 2018
  • Sp(N) tensor quantum mechanics, string theory group meeting, Perimeter Institute, Nov 2018
  • SYK-like tensor quantum mechanics with Sp(N) symmetry, Workshop on Holographic Tensors, OIST, Okinawa, Japan, Oct. 2018
  • Tensor models and applications: from random geometry to melonic QFTs, invited seminar at Ecole Polytechnique, France, October 2018
  • Large N fermionic tensor models in d=2, invited talk at "Quantum spacetime and the renormalization group", Physikzentrum Bad Honnef, June 18-22 2018
  • A large N expansion for irreducible O(N) tensor models, quantum gravity group meeting, Perimeter Institute, April 11th 2018
  • A large N expansion for irreducible O(N) tensor models, Workshop on tensor models and FRG methods, University of Heidelberg, 19-23 March 2018
  • Introductory course to "Large N methods for Tensor Models", graduate level, 4.5 hours, University of Heidelberg, March 19-20th 2018
  • The large N melonic limit of O(N) tensor models, Camille Jordan Institute, Lyon, March 9th 2018
  • The large N melonic limit of O(N) tensor models, LMPT, University of Tours, March 8th 2018
  • The large N melonic limit of O(N) tensor models, laboratoire J. A. Dieudonné, University of Nice, March 7th 2018
  • The large N melonic limit of O(N) tensor models, Princeton HET seminar, USA, Feb 2018
  • Tensor models and SYK, Université Libre de Bruxelles, Belgium, December 2017
  • Fermionic tensor models and SYK, Quantum Gravity Day, Perimeter Institute, November 2017
  • Spin foam renormalization à la GFT: status and prospects, plenary talk at Loops '17, University of Warsaw, Poland, July 2017
  • Quantum fields with tensorial locality, Ecole Polytechnique, Palaiseau, France, March 2017
  • Thermodynamics and Statistical Physics, 30h course jointly taught with Philipp Hoehn (University of Vienna), AIMS Tanzania, February-March 2017
  • Quantum fields with tensorial locality, LPT Orsay, University of Paris South, France, January 2017
  • Quantum fields with tensorial locality, ENS Lyon, France, January 2017
  • Introduction to topological quantum computation (2 lectures), LaBRI, University of Bordeaux, France, September 2016
  • Introduction to group field theory (4 lectures), Third BNU summer school on quantum gravity, Beijing Normal University, China, August 2016
  • Flowing in group field theory space, Radboud University of Nimejen, The Netherlands, June 2016
  • Introduction to group field theory, workshop on quantum gravity, Helsinki University, Finland, June 2016
  • Using Grassmann calculus in combinatorics, LaBRI, University of Bordeaux, France, May 2016
  • Renormalizable tensorial field theories as models of quantum geometry, University of Nottingham, UK, April 2016
  • O(N) random tensor models, LIPN, University of Paris 13, France, April 2016
  • Renormalizable tensorial field theories as models of quantum geometry, 'Paths to, from and in renormalisation' workshop, University of Potsdam, Germany, February 2016
  • A renormalizable GFT with Barrett-Crane simplicity constraints, Albert Einstein Institute, Potsdam-Golm, Germany, December 2015
  • Renormalization of tensorial field theories, Workshop on renormalization in statistical physics and lattice field theory, Montpellier, France, August 2015
  • What is renormalization useful for in spin foams? , Loops '15, University of Erlangen, Germany, July 2015
  • Group field theory, tensor models and the renormalization group, Quantum Gravity in Paris, LPT Orsay - IHP - IHES, France, April 2015
  • Renormalization of 3d group field theories, Institut Camille Jordan, University of Lyon, France, March 2015
  • Renormalization of group field theories and applications, Institute for Gravitation and the Cosmos, Penn State University, USA, December 2014
  • Renormalization in the group field theory approach to quantum gravity, Workshop on conceptual and technical challenges for quantum gravity, Sapienza University of Rome, Italy, September 2014
  • Renormalization of tensorial group field theories, Frontiers of Fundamental Physics 14, University of Marseille, France, July 2014
  • Renormalization in GFT: why and how? , Albert Einstein Institute, Potsdam-Golm, Germany, December 2013
  • Renormalization of tensorial group field theories, International Loop Quantum Gravity Seminar, http://relativity. phys.lsu.edu/ilqgs/, October 2012
  • Renormalizability in tensorial group field theories, Workshop on new trends in algebraic quantum field theory, INFN Laboratori Nazionali di Frascati, Italy, September 2012
  • Renormalizability in tensorial group field theories, 29th international colloquium on group-theoretical methods in physics, Tianjin, China, August 2012
  • Singular topologies in GFT, 6th Aegean summer school on quantum gravity and quantum cosmology, Naxos, Greece, September 2011
  • Group field theory: an overview, International Max Planck research school excursion, Motzen, Germany, July 2011
  • Suppresion of pseudo-manifolds in the colored Boulatov model, Loops '11, Madrid, Spain, May 2011
  • PIRSA:15100058, How to Alternatively Sum Over Spin Foams?, 2015-10-02, Renormalization in Background Independent Theories: Foundations and Techniques
  • PIRSA:14110129, UV completion in Group Field Theories, 2014-11-20, Quantum Gravity
  • PIRSA:14050001, Group Field Theory in dimension four minus epsilon, 2014-05-01, Quantum Gravity
  • PIRSA:14040112, Renormalization group approach to 3d group field theory, 2014-04-25, Renormalization Group Approaches to Quantum Gravity
  • PIRSA:13070055, Renormalization of an SU(2) tensorial group field theory in 3d, 2013-07-23, Loops '13
  • PIRSA:12120007, Renormalizing TGFTs: a 3d example on SU(2), 2012-12-06, Quantum Gravity