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RTFT SIGNED

Random Tensors and Field Theory

Total Cost €

EC-Contrib. €

Partnership

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RTFT project word cloud

Explore the words cloud of the RTFT project. It provides you a very rough idea of what is the project "RTFT" about.

metals matrices yield dimensions pointed random zero critical considering conformal discovered again restricts theories models perturbative group nontrivial class infrared things proved coupled diagrams maximally analytically exhaustive correspondence theory expansion renormalization rank tensors restricted ads cft vectors extend flow exceedingly classes last tensor complicated universality perform simplify limit witten feynman quantum melonic

Project "RTFT" data sheet

The following table provides information about the project.

Coordinator	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Organization address address: RUE MICHEL ANGE 3 city: PARIS postcode: 75794 website: www.cnrs.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	France [FR]
Total cost	1˙672˙084 €
EC max contribution	1˙672˙084 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2018-COG
Funding Scheme	ERC-COG
Starting year	2019
Duration (year-month-day)	from 2019-09-01 to 2024-08-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Organization address address: RUE MICHEL ANGE 3 city: PARIS postcode: 75794 website: www.cnrs.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	coordinator	1˙672˙084.00

Map

Project objective

The large-N limit in field theory restricts the perturbative expansion to specific classes of Feynman diagrams. For vectors the restricted class of diagrams is simple, and one can analytically solve the models. For matrices, the large-N limit is simple in zero dimensions but is exceedingly complicated in higher dimensions. I proved that going one step up in the rank and considering tensor fields things simplify again, but not to the level of the vectors. I established the 1/N expansion of random tensors and discovered a new (and the last possible) universality class of large-N field theories: the melonic theories. As pointed out by Witten, these theories yield nontrivial, strongly coupled conformal field theories in the infrared. The aim of this project is to perform an exhaustive study of the melonic universality class of tensor field theories and their infrared conformal field theories. I aim to extend maximally the melonic universality class, study the renormalization group flow in melonic theories and apply them to the AdS/CFT correspondence and quantum critical metals.

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