Innovating Works

HBQFTNCER

Financiado
Holomorphic Blocks in Quantum Field Theory New Constructions of Exact Results
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... 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. ver más
28/02/2021
UNIMIB
1M€
Duración del proyecto: 71 meses Fecha Inicio: 2015-03-13
Fecha Fin: 2021-02-28

Línea de financiación: concedida

El organismo H2020 notifico la concesión del proyecto el día 2021-02-28
Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:
ERC-StG-2014: ERC Starting Grant
Cerrada hace 10 años
Presupuesto El presupuesto total del proyecto asciende a 1M€
Líder del proyecto
UNIVERSITA DEGLI STUDI DI MILANOBICOCCA No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico TRL 4-5