Project description
Research reveals new insight into 2D conformal field theories
Two-dimensional conformal field theories (2D CFTs) are mathematical models used to describe physical systems that do not change when length, energy or other variables change. Recent research has revealed deep connections between 2D CFTs and other mathematical frameworks. One discovery linked 2D CFT correlation functions to Painlevé equations (a set of non-linear differential equations). Another used probabilistic frameworks such as Gaussian multiplicative chaos (which models randomness) and conformal loop ensembles (which describe random fractal-like curves) to rigorously formulate certain 2D CFTs. With the support of the Marie Skłodowska-Curie Actions programme, the ConBIP project aims to bridge these two approaches using random matrix theory. If successful, ConBIP will uncover universal structures underlying 2D CFTs and resolve critical conjectures in mathematics and physics.
Objective
In the past decade, two major breakthroughs have significantly advanced mathematical physics. The first established a crucial link between the correlation functions of two-dimensional conformal field theories (2D CFTs)—known as conformal blocks—and a special class of integrable systems called the Painlevé equations. This connection, known as the Painlevé/CFT correspondence, led to the derivation of closed-form expressions for the highly transcendental solutions of the Painlevé equations, solving a long-standing problem.
The second breakthrough provided a rigorous formulation of certain 2D CFTs through probabilistic frameworks such as Gaussian Multiplicative Chaos (GMC) measures and Conformal Loop Ensembles (CLE). These concepts have granted unprecedented analytic control over CFTs, particularly in the context of conformal blocks.
This project aims to bridge these two approaches using Random Matrix Theory to develop a unified framework. Achieving this goal is both ambitious and highly desirable, as it would uncover a universal structure underlying CFTs and resolve critical conjectures in both mathematics and physics.
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.
This project's classification has been human-validated.
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.
This project's classification has been human-validated.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2024-PF-01
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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.
OX1 2JD Oxford
United Kingdom
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.