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beyondRCFT SIGNED

Beyond Rationality in Algebraic CFT: mathematical structures and models

Total Cost €

EC-Contrib. €

Partnership

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beyondRCFT project word cloud

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

spectrum naturally physically finite vacuum trivial led active particle attracted history inclusions braided extensions conformal mathematical generalizations modern associate central rigorous necessarily cfts motivated counterparts rational formulations superselection localizations compact implies subfactors tensor machinery size connected cft defects models categories describing analyze structural arising theory axiomatic virasoro jones natural ind theories internal charge duality excitations independently modular center minimal objects generalized planar amenable bigger dimensions times majority exotic neumann physics symmetries von group algebras correlated fusion infinite hence topological index examples profound extremely interplay admit global branches sectors infinitely respect rationality pairwise literature gauge

Project "beyondRCFT" data sheet

The following table provides information about the project.

Coordinator	UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Organization address address: VIA CRACOVIA 50 city: ROMA postcode: 133 website: www.uniroma2.it 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	Italy [IT]
Total cost	262˙269 €
EC max contribution	262˙269 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2017
Funding Scheme	MSCA-IF-GF
Starting year	2019
Duration (year-month-day)	from 2019-09-01 to 2022-08-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Organization address address: VIA CRACOVIA 50 city: ROMA postcode: 133 website: www.uniroma2.it contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IT (ROMA)	coordinator	262˙269.00
2	VANDERBILT UNIVERSITY VANDERBILT UNIVERSITY Organization address address: WEST END AVENUE 2201 city: NASHVILLE TENESSEE postcode: 37235 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (NASHVILLE TENESSEE)	partner	0.00

Map

Project objective

'Conformal Field Theory (CFT) in low dimensions is one of the most active branches of modern physics, it is amenable to rigorous 'axiomatic' formulations, hence it is naturally connected to various areas of mathematical research. For example, to CFTs one can associate braided tensor categories (describing superselection sectors, defects, topological field theories) and subfactors, i.e., inclusions of von Neumann algebras with trivial center (describing extensions, duality properties and exotic charge localizations). All these areas are independently pairwise correlated, e.g., subfactors with CFTs, subfactors with tensor categories, and they have their own history and an extremely profound literature. The aim of my research project is to analyze models of CFT, together with the associated mathematical objects, which are not necessarily 'rational', i.e., which may admit infinitely many superselection sectors ('particle' excitations of the vacuum). Examples of non-rational CFTs (which are the majority among all CFTs) come from Virasoro minimal models with central charge bigger than one (there are continuously many), and global gauge theories with respect to a compact non-finite group of internal symmetries.

Non-rationality of a CFT also implies that the 'size' of the associated categories and subfactors have to be infinite, namely one is led to consider categories with infinite spectrum and subfactors with infinite Jones index. These mathematical objects are natural generalizations of their 'finite' counterparts (modular and fusion categories, finite index subfactors), they are physically motivated, but they attracted the attention of researchers only in recent times.

This research project aims to study structural properties of non-rational CFTs using modern machinery (e.g., generalized Q-systems, ind-categories, planar algebras), to study infinite braided tensor categories and infinite index subfactors arising from them, and exploit their interplay.'

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The information about "BEYONDRCFT" are provided by the European Opendata Portal: CORDIS opendata.