Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS

Quantum Algebraic Structures In Field Theories

Objective

Quantum Field Theory is a universal framework to address quantum physical systems with infinitely many interacting degrees of freedom, applicable both at the level of fundamental interactions, such as the subnuclear physics of quarks and gluons and at the phenomenological level such as the physics of quantum fluids and superconductivity.
Traditionally, weakly interacting quantum field theory is formulated as a perturbative deformation of the linear theory of freely propagating quantum waves or particles with interactions described by Feynman diagrams. For strongly non-linear quantum field theories the method of Feynman diagrams is not adequate.
The main goal of this proposal is to develop novel tools and techniques to address strongly non-linear quantum field theories.
To achieve this goal we will search for hidden algebraic structures in quantum field theories that will lead to efficient algorithms to compute physical observables of interest. In particular we identify non-linear quantum field theories with exactly solvable sectors of physical observables.

In this project we will focus on three objectives:
- build general theory of localization in supersymmetric Yang-Mills theory for arbitrary geometrical backgrounds
- find all realizations of symplectic and supersymplectic completely integrable systems in gauge theories
- construct finite supersymmetric Yang-Mills theory in terms of the algebra of locally supersymmetric loop observables for maximally supersymmetric gauge theory

The realization of the above objectives will uncover hidden quantum algebraic structures and consequently will bring ground-breaking results in our knowledge of quantum field theories and the fundamental interactions.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.

You need to log in or register to use this function

Programme(s)

Multi-annual funding programmes that define the EU’s priorities for research and innovation.

Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

ERC-STG - Starting Grant

See all projects funded under this funding scheme

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2015-STG

See all projects funded under this call

Host institution

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 498 750,00
Address
ROUTE DE CHARTRES 35
91440 Bures Sur Yvette
France

See on map

SME

The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed.

Yes
Region
Ile-de-France Ile-de-France Essonne
Activity type
Research Organisations
Links
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 498 750,00

Beneficiaries (1)

My booklet 0 0