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QUASIFT SIGNED

Quantum Algebraic Structures In Field Theories

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EC-Contrib. €

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Project "QUASIFT" data sheet

The following table provides information about the project.

Coordinator
INSTITUT DES HAUTES ETUDES SCIENTIFIQUES 

Organization address
address: ROUTE DE CHARTRES 35
city: BURES SUR YVETTE
postcode: 91440
website: www.ihes.fr

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 France [FR]
 Project website http://pestun.ihes.fr
 Total cost 1˙498˙750 €
 EC max contribution 1˙498˙750 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-09-01   to  2021-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    INSTITUT DES HAUTES ETUDES SCIENTIFIQUES FR (BURES SUR YVETTE) coordinator 1˙498˙750.00

Map

 Project 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.

 Publications

year authors and title journal last update
List of publications.
2018 Elliott, Chris; Pestun, Vasily
Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
published pages: , ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-01974783 2 2019-10-01
2017 Taro Kimura, Vasily Pestun
Quiver W-algebras
published pages: , ISSN: 0377-9017, DOI: 10.1007/s11005-018-1072-1
Letters in Mathematical Physics 2019-07-08
2017 Vasily Pestun
Review of localization in geometry
published pages: 443002, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa6161
Journal of Physics A: Mathematical and Theoretical 50/44 2019-07-08
2018 A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Weighted Hurwitz numbers and topological recursion: An overview
published pages: 81102, ISSN: 0022-2488, DOI: 10.1063/1.5013201
Journal of Mathematical Physics 59/8 2019-07-08
2019 Jihwan Oh, Junya Yagi
Chiral algebras from Ω-deformation
published pages: , ISSN: 2331-8422, DOI:
arXiv 2019-07-08
2018 Chris Elliott, Brian Williams, Philsang Yoo
Asymptotic freedom in the BV formalism
published pages: 246-283, ISSN: 0393-0440, DOI: 10.1016/j.geomphys.2017.08.009
Journal of Geometry and Physics 123 2019-07-08
2017 Vasily Pestun, Yiannis Vlassopoulos
Tensor network language model
published pages: , ISSN: , DOI:
arXiv 2019-07-08
2017 Vasily Pestun, Maxim Zabzine
Introduction to localization in quantum field theory
published pages: 443001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa5704
Journal of Physics A: Mathematical and Theoretical 50/44 2019-07-08
2018 A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Weighted Hurwitz numbers and topological recursion: an overview
published pages: , ISSN: 2331-8422, DOI:
arXiv 2019-07-08
2018 Michele Cirafici
Quivers, Line Defects and Framed BPS Invariants
published pages: 1-70, ISSN: 1424-0637, DOI: 10.1007/s00023-017-0611-0
Annales Henri Poincaré 19/1 2019-07-08
2019 Alexander Alexandrov, Hisayoshi Muraki, Chaiho Rim
From minimal gravity to open intersection theory
published pages: , ISSN: 2331-8422, DOI:
arXiv 2019-07-08
2017 Vasily Pestun, John Terilla, Yiannis Vlassopoulos
Language as a matrix product state
published pages: , ISSN: , DOI:
arXiv 2019-07-08
2017 Taro Kimura, Vasily Pestun
Quiver elliptic W-algebras
published pages: , ISSN: 0377-9017, DOI: 10.1007/s11005-018-1073-0
Letters in Mathematical Physics 2019-07-08
2018 Chris Elliott, Vasily Pestun
Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
published pages: , ISSN: 2331-8422, DOI:
arXiv 2019-05-28
2018 A. Gorsky, A. Milekhin, N. Sopenko
Bands and gaps in Nekrasov partition function
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep01(2018)133
Journal of High Energy Physics 2018/1 2019-05-28
2017 Michele Cirafici, Michele Del Zotto
Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
published pages: , ISSN: , DOI:
arXiv 2019-05-28
2018 Taro Kimura, Vasily Pestun
Fractional quiver W-algebras
published pages: 2425-2451, ISSN: 0377-9017, DOI: 10.1007/s11005-018-1087-7
Letters in Mathematical Physics 108/11 2019-05-28
2019 Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents
Towards a full solution of the large N double-scaled SYK model
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep03(2019)079
Journal of High Energy Physics 2019/3 2019-05-28
2018 Koroteev, Peter
A-type Quiver Varieties and ADHM Moduli Spaces
published pages: , ISSN: , DOI:
arXiv 3 2019-05-28
2017 Owen Gwilliam, Brian Williams
The holomorphic bosonic string
published pages: , ISSN: 2331-8422, DOI:
arXiv 2019-05-28
2019 Rouven Frassek, Vasily Pestun
A Family of GLr Multiplicative Higgs Bundles on Rational Base
published pages: , ISSN: 1815-0659, DOI: 10.3842/sigma.2019.031
Symmetry, Integrability and Geometry: Methods and Applications 2019-05-28
2017 Elliott, Chris; Yoo, Philsang
A Physical Origin for Singular Support Conditions in Geometric Langlands Theory
published pages: , ISSN: 2331-8422, DOI:
arXiv 3 2019-05-28
2018 Peter Koroteev
qKZ/tRS Duality via Quantum K-Theoretic Counts
published pages: , ISSN: , DOI:
arXiv 2019-05-28
2019 Chris Elliott, Pavel Safronov
Topological Twists of Supersymmetric Algebras of Observables
published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-019-03393-9
Communications in Mathematical Physics 2019-05-28
2018 Anindya Dey, Peter Koroteev
Good IR duals of bad quiver theories
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP05(2018)114
Journal of High Energy Physics 2018/5 2019-05-28
2017 Li Qiao, Jian-Rong Li
Three-term recurrence relations of minimal affinizations of type G2
published pages: 1119--1140, ISSN: 0949-5932, DOI:
Journal of Lie Theory 27 No 4 2019-05-28

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