Objective
A central challenge in theoretical physics is to develop non-perturbative or exact methods to describe quantitatively the dynamics of strongly coupled quantum fields. This proposal aims to establish new exact methods for the study of supersymmetric quantum field theories thereby unveiling new integrable structures and fostering new correspondences and dualities. We will develop a new cut-and-sew formalism to compute partition functions and expectation values of observables of supersymmetric gauge theories on compact manifolds through the gluing of a fundamental set of building blocks, the holomorphic blocks. The decomposition of partition functions into holomorphic blocks corresponds to
the geometric decomposition of compact manifolds into standard simpler pieces. Similarly the gluing rules for the holomorphic blocks correspond to the geometric gluing rules. The key insight required to exploit the holomorphic block formalism is the deep connection between supersymmetric gauge theories and low dimensional exactly solvable systems such as 2d CFTs, TQFTs and spin chains. Two and four dimensional holomorphic blocks can be reinterpreted as conformal blocks in Liouville theory through an established correspondence between supersymmetric gauge theories and Liouville theory. We will provide a similar realisation of three and five dimensional holomorphic blocks in a new theory,
a q-deformed version of Liouville theory where the Virasoro algebra is replaced by the q-deformed Virasoro algebra.
We will develop this theory classifying the symmetries of correlation functions. These symmetries will be realised as gauge theory dualities, while the language of the q-deformed Liouville theory will become a new powerful tool to investigate supersymmetric gauge theories.
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.
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.
- natural sciences physical sciences theoretical physics particle physics
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences mathematics pure mathematics algebra
- natural sciences physical sciences theoretical physics string theory
- natural sciences mathematics applied mathematics mathematical physics conformal field theory
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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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H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)
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.
ERC-STG - Starting Grant
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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) ERC-2014-STG
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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.
20126 Milano
Italy
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.