Aldo Riello

Research Interests

My main research interests are in quantum gravity. Quantum gravity is ultimately the problem of devising a theory of quantum matter which interacts gravitationally. Since our understanding of gravitation is in terms of a dynamical spacetime, quantum gravity is often restated as the problem of finding a quantum theory of spacetime itself. My work focuses on the interface between non-perturbative background independent approaches to quantum gravity, topological quantum field theories, and discrete quantum geometries. In the last year I devoted my time developing a model which takes into account a non-vanishing cosmological constant.

Positions Held

• 2014-now Perimeter Institute, Waterloo, Canada, Postdoctoral Researcher
• 2011-2014 Aix-Marseille University, France, Teaching Assistant
• 2011-2014 Centre de Physique Théorique, Aix-Marseille University, France, PhD Student

Recent Publications

• H.M. Haggard, M. Han, W. Kaminski, AR, "Four-dimensional Quantum Gravity with a Cosmological Constant from Three-dimensional Holomorphic Blocks". Phys.Lett.B, 752, pp. 258-2622015, January 2016. [arXiv: 1509.00458 hep-th]
• M. Han, H.M. Haggard, AR. "Encoding Curved Tetrahedra in Face Holonomies: a Phase Space of Shapes from Group-Valued Moment Maps". Ann. Henri Poicaré 2016. [arXiv: 1506.03053 math-ph]
• M. Han, H.M. Haggard, W. Kaminski, AR. "SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry." Nucl.Phys.B, 900, pp. 1-79, September 2015. [arXiv: 1412.7546 hep-th]
• G. Chirco, H.M. Haggard, AR, C. Rovelli. "Spacetime thermodynamics without hidden degrees of freedom". Phys.Rev.D 90, 044044, August 2014, [arXiv: 1401.5262 gr-qc]
• AR. "Radiative corrections to the Lorentzian Engle-Pereira-Rovelli-Livine and Freidel-Krasnov spinfoam graviton". Phys.Rev.D 89, 06402, March 2014, [arXiv: 1310.2174 gr-qc]
• AR. "Self-energy of the Lorentzian Engle-Pereira-Rovelli-Livine and Freidel-Krasnov model of quantum gravity". Phys.Rev.D 88, 024011, July 2013, [arXiv: 1302.1781 gr-qc]
• M. Christodoulou, M. Långvik, AR, C. Röken, C. Rovelli. "Divergences and Orientation in Spinfoams". Classical Quant.Grav., 30(5): 055009, February 2013. [arXiv: 1207.5156 gr-qc]
• M. Christodoulou, AR, C. Rovelli. "How to detect an anti-spacetime". Int.J.Mod.Phys.D, 21(11):1242014, October 2012. [arXiv: 1206.3903 gr-qc]
• V. Bonzom, R. Gurau, AR, V. Rivasseau. "Critical behavior of colored tensor models in the large N limit". Nucl.Phys.B, 853(1):174-195, December 2011. [arXiv: 1105.3122 hep-th]
• C. Delcamp, B. Dittrich, AR, On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity [hep-th/1609.04806]
• H. Gomes, AR. The Observer"s Ghost: a field-space connection-form and its application to gauge theories and general relativity. [math-th/1650949]
• C. Delcamp, B. Dittrich, AR, "Fusion Basis for Lattice Gauge Theory and Loop Quantum Gravity", [arxiv:hep-th/1607.08881]
• M. Han, H.M. Haggard, W. Kaminski, AR, SL(2,C) Chern-Simons Theory, Flat Connections, and Four-dimensional Quantum Geometry [hep-th/1512.07690]

Seminars

• "On Asymptotic Symmetries in Classical General Relativity", invited contribution at the workshop Classical and Quantum Symmetries in Mathematics and Physics (Satellite meeting of 7ECM), Friedrich Schiller U. (Jena, Germany), July 2016
• "On Finite Regions, Symmetries, and Observers in General Relativity'', Carlofest 2016, Aix-Marseille U. (Marseille, France), May 2016
• "From Holonomy Observables to 3+1 QG with a Cosmological Constant", Quantum Gravity meeting in Rome, La Spaienza University, Roma, 19-23 July 2015
• "Deformed Holonomy-Flux Algebra in 3+1 Quantum Gravity with a Cosmological Constant", LOOPS15, Institute for Quantum Gravity, Friedrich-Alexander Universitaet (Erlangen, Germany), 6-10 July 2015
• "Towards Covariant Loop Quantum Gravity with a Cosmological Constant", General Relativity and Gravitation, Centennial Conference, Penn State University, June 2015
• "Toward 4d Quantum Gravity with a Cosmological Constant from SL(2,C) Chern-Simons Theory", Laboratoire de Physique Théorique de Lyon, ENS Lyon, February 2015
• "SL(2,C) Chern-Simons Theory and Spinfoam Gravity with a Cosmological Constant", International Loop Quantum Gravity Seminar, November 2014
• "The Melon Graph in the EPRL-FK Spinfoam Model", invited contribution to the fourth edition of the Workshop Quantum Gravity in Paris, March 2014
• "Radiative Corrections in Spinfoam Quantum Gravity", Quantum Vacuum and Gravitation (QVG2013), Institut de Recherche en Astrophysique et Planétologie (Toulouse, France), 4-6 November 2013
• PIRSA:13110063, Divergences in Spinfoam Quantum Gravity, 2013-11-28, Quantum Gravity Seminar
• PIRSA:13070041, Self-energy of the Lorentzian EPRL-FK model, 2013-07-22, Loops 13 - Spin Foams