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beyondRCFT SIGNED

Beyond Rationality in Algebraic CFT: mathematical structures and models

Total Cost €

0

EC-Contrib. €

0

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.

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

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 IT (ROMA) coordinator 262˙269.00
2    VANDERBILT UNIVERSITY 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.

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