Project description DEENESFRITPL Theoretical descriptions and practical applications of a new class of field theories Advanced mathematical formulations are fundamental to our descriptions of complex physical systems, particularly in the fields of quantum mechanics and condensed matter. Perturbation techniques can make the complex more simple, enabling approximate solutions to problems without exact solutions starting from exact solutions to simpler problems. Perturbative large-N (or 1/N) expansion is a particular case of this. Its application to tensors led to the exciting discovery of a new class of mathematical models or field theories, the melonic theories. EU funding of the RTFT project will enable the scientist who made the discovery to explore the topic in much greater depth. Show the project objective Hide the project objective 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. Fields of science natural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesmathematicspure mathematicsalgebra Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Topic(s) ERC-2018-COG - ERC Consolidator Grant Call for proposal ERC-2018-COG See other projects for this call Funding Scheme ERC-COG - Consolidator Grant Coordinator RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG Net EU contribution € 1 493 934,54 Address Seminarstrasse 2 69117 Heidelberg Germany See on map Region Baden-Württemberg Karlsruhe Heidelberg, Stadtkreis Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Beneficiaries (2) Sort alphabetically Sort by Net EU contribution Expand all Collapse all RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG Germany Net EU contribution € 1 493 934,54 Address Seminarstrasse 2 69117 Heidelberg See on map Region Baden-Württemberg Karlsruhe Heidelberg, Stadtkreis Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Participation ended France Net EU contribution € 178 149,46 Address Rue michel ange 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
