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INTSYS SIGNED

Algebraic, Geometric, and Field-Theoretic Aspects of Integrable Many-Body Systems

Total Cost €

0

EC-Contrib. €

0

Partnership

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 INTSYS project word cloud

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

internal    solution    lax    character    equations    solvable    mechanics    gordon    soliton    lattice    mass    theories    limit    de    quiver    moving    gauge    coupling    vries    complicated    equation    body    vertex    intimately    particles    upper    enhances    regulated    types    masses    exist    concerned    connections    xyz    model    hyperbolic    interaction    external    integrability    freedom    generalisations    trigonometric    rational    toda    describe    circle    pairs    versions    compactified    theory    pairwise    preserving    dynamics    seemingly    bodies    linear    zero    fact    particle    setting    equal    mechanical    topological    light    integrable    either    multiple    spin    thought    named    models    variants    line    profusion    pair    discovery    ruijsenaars    containing    sine    laws    relativistic    motion    strength    degrees    newtonian    distinguish    free    outcomes    links    korteweg    obeying    heisenberg    speed    algebraic    structures    point    calogero    quantum    couplings    elliptic   

Project "INTSYS" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITY OF LEEDS 

Organization address
address: WOODHOUSE LANE
city: LEEDS
postcode: LS2 9JT
website: www.leeds.ac.uk

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 United Kingdom [UK]
 Total cost 195˙454 €
 EC max contribution 195˙454 € (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-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-09-01   to  2020-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITY OF LEEDS UK (LEEDS) coordinator 195˙454.00

Map

 Project objective

This project is concerned with integrable many-body systems of Calogero-Ruijsenaars type. It aims at finding new models, related algebraic structures, and connections to various field theories. The most important outcomes to be expected are the following:

1. Discovery of quantum and classical Lax pairs for hyperbolic, trigonometric, and elliptic relativistic models containing multiple couplings. 2. Solution of the classical and quantum dynamics of new compactified trigonometric relativistic systems. 3. Finding new and extending already existing links to quiver gauge theory and topological quantum field theory.

Integrable models of Calogero-Ruijsenaars type describe the pairwise interaction of equal-mass particles moving on a line or circle. The strength of particle interaction is regulated by a (real) number, the coupling parameter. Setting this parameter to zero means no interaction, i.e. free particles, while non-zero parameter values result in a complicated motion. This is due to the non-linear pair potential, of which we distinguish four types, named rational, hyperbolic, trigonometric, and elliptic. The particles can be thought of as either non-relativistic bodies obeying the laws of Newtonian mechanics or relativistic point masses with an upper speed limit (given by the speed of light). Integrable quantum mechanical versions also exist. In addition, Calogero-Ruijsenaars type systems have several generalisations preserving integrability, such as models in external fields (involving multiple couplings) or particles with spin (internal degrees of freedom). This profusion of variants enhances the importance of these systems. In fact, Calogero-Ruijsenaars type models are intimately related to various integrable systems of seemingly different character. These include soliton equations (e.g. Korteweg-de Vries equation and sine-Gordon equation), lattice models (e.g. Toda model), solvable spin and vertex models (e.g. Heisenberg XYZ model and 8-vertex model).

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