Quantum Algebraic Structures In Field Theories

Project Information

QUASIFT

Grant agreement ID: 677368

DOI

10.3030/677368

Project closed

EC signature date 22 February 2016

Start date 1 September 2016

End date 31 August 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 498 750,00

EU contribution

€ 1 498 750,00

Coordinated by

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (30)

Quantum stabilizer codes, lattices, and CFTs

Author(s): Anatoly Dymarsky, Alfred Shapere
Published in: Journal of High Energy Physics, Issue 2021/3, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2021)160

Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data

Author(s): Alexander Tsymbaliuk
Published in: Letters in Mathematical Physics, Issue 110/8, 2020, Page(s) 2083-2111, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01287-9

Crystal Volumes and Monopole Dynamics

Author(s): Sergey A. Cherkis, Rebekah Cross
Published in: Communications in Mathematical Physics, Issue 377/1, 2020, Page(s) 503-529, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03556-8

Flag Manifold Sigma Models and Nilpotent Orbits

Author(s): Dmitri V. Bykov
Published in: Proceedings of the Steklov Institute of Mathematics, Issue 309/1, 2020, Page(s) 78-86, ISSN 0081-5438
Publisher: Springer Verlag
DOI: 10.1134/s0081543820030062

Duality of Lusztig and RTT integral forms of U v ( L sl n

Author(s): Alexander Tsymbaliuk
Published in: Journal of Pure and Applied Algebra, Issue 225/1, 2021, Page(s) 106469, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106469

KP integrability of triple Hodge integrals, I. From Givental group to hierarchy symmetries

Author(s): Alexander Alexandrov
Published in: Communications in Number Theory and Physics, Issue 15/3, 2021, Page(s) 615-650, ISSN 1931-4523
Publisher: International Press of Boston, Inc.
DOI: 10.4310/cntp.2021.v15.n3.a6

$$\underline{p}$$-reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$-algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$

Author(s): Sylvain Carpentier, Alberto De Sole, Victor G. Kac, Daniele Valeri, Johan van de Leur
Published in: Communications in Mathematical Physics, Issue 380/2, 2020, Page(s) 655-722, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03817-x

Conformal group theory of tensor structures

Author(s): Ilija Burić, Volker Schomerus, Mikhail Isachenkov
Published in: Journal of High Energy Physics, Issue 2020/10, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2020)004

Weighted Hurwitz numbers and topological recursion: An overview

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Journal of Mathematical Physics, Issue 59/8, 2018, Page(s) 081102, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5013201

Partition Functions of $$\mathcal{N}=(2,2)$$ Supersymmetric Sigma Models and Special Geometry on the Moduli Spaces of Calabi-Yau Manifolds

Author(s): A. A. Belavin, B. A. Eremin
Published in: Theoretical and Mathematical Physics, Issue 201/2, 2019, Page(s) 1606-1613, ISSN 0040-5779
Publisher: Maik Nauka/Interperiodica Publishing
DOI: 10.1134/s0040577919110060

Quiver W-algebras

Author(s): Taro Kimura, Vasily Pestun
Published in: Letters in Mathematical Physics, 2017, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1072-1

Asymptotic freedom in the BV formalism

Author(s): Chris Elliott, Brian Williams, Philsang Yoo
Published in: Journal of Geometry and Physics, Issue 123, 2018, Page(s) 246-283, ISSN 0393-0440
Publisher: Elsevier BV
DOI: 10.1016/j.geomphys.2017.08.009

Quivers, Line Defects and Framed BPS Invariants

Author(s): Michele Cirafici
Published in: Annales Henri Poincaré, Issue 19/1, 2018, Page(s) 1-70, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-017-0611-0

Quiver elliptic W-algebras

Author(s): Taro Kimura, Vasily Pestun
Published in: Letters in Mathematical Physics, 2017, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1073-0

Introduction to localization in quantum field theory

Author(s): Vasily Pestun, Maxim Zabzine
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 50/44, 2017, Page(s) 443001, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa5704

Review of localization in geometry

Author(s): Vasily Pestun
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 50/44, 2017, Page(s) 443002, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa6161

Topological Twists of Supersymmetric Algebras of Observables

Author(s): Chris Elliott, Pavel Safronov
Published in: Communications in Mathematical Physics, 2019, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03393-9

Fractional quiver W-algebras

Author(s): Taro Kimura, Vasily Pestun
Published in: Letters in Mathematical Physics, Issue 108/11, 2018, Page(s) 2425-2451, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1087-7

Three-term recurrence relations of minimal affinizations of type G2

Author(s): Li Qiao, Jian-Rong Li
Published in: Journal of Lie Theory, Issue 27 No 4, 2017, Page(s) 1119--1140, ISSN 0949-5932
Publisher: Heldermann Verlag

A Family of GL_r Multiplicative Higgs Bundles on Rational Base

Author(s): Rouven Frassek, Vasily Pestun
Published in: Symmetry, Integrability and Geometry: Methods and Applications, 2019, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2019.031

Bands and gaps in Nekrasov partition function

Author(s): A. Gorsky, A. Milekhin, N. Sopenko
Published in: Journal of High Energy Physics, Issue 2018/1, 2018, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2018)133

Towards a full solution of the large N double-scaled SYK model

Author(s): Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents
Published in: Journal of High Energy Physics, Issue 2019/3, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2019)079

Good IR duals of bad quiver theories

Author(s): Anindya Dey, Peter Koroteev
Published in: Journal of High Energy Physics, Issue 2018/5, 2018, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP05(2018)114

Multiplicative Hitchin systems and supersymmetric gauge theory

Author(s): Chris Elliott, Vasily Pestun
Published in: Selecta Mathematica, Issue 25/4, 2019, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-019-0510-y

Chiral algebras from Ω-deformation

Author(s): Jihwan Oh, Junya Yagi
Published in: Journal of High Energy Physics, Issue 2019/8, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP08(2019)143

A Physical Origin for Singular Support Conditions in Geometric Langlands Theory

Author(s): Chris Elliott, Philsang Yoo
Published in: Communications in Mathematical Physics, Issue 368/3, 2019, Page(s) 985-1050, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03438-z

A-type Quiver Varieties and ADHM Moduli Spaces

Author(s): Peter Koroteev
Published in: Communications in Mathematical Physics, Issue 381/1, 2021, Page(s) 175-207, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03915-w

On quiver W-algebras and defects from gauge origami

Author(s): Peter Koroteev
Published in: Physics Letters B, Issue 800, 2020, Page(s) 135101, ISSN 0370-2693
Publisher: Elsevier BV
DOI: 10.1016/j.physletb.2019.135101

Shifted Quantum Affine Algebras: Integral Forms in Type A

Author(s): Michael Finkelberg, Alexander Tsymbaliuk
Published in: Arnold Mathematical Journal, Issue 5/2-3, 2019, Page(s) 197-283, ISSN 2199-6792
Publisher: Arnold Mathematical Journal
DOI: 10.1007/s40598-019-00118-7

Dynamics of global and local vortices with orientational moduli

Author(s): Minoru Eto, Adam Peterson, Fidel I. Schaposnik Massolo, Gianni Tallarita
Published in: Journal of High Energy Physics, Issue 2021/3, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2021)156

Other (21)

The information loss of a stochastic map

Author(s): James Fullwood, Arthur J. Parzygnat
Published in: 2021
Publisher: arXiv

Inverses, disintegrations, and Bayesian inversion in quantum Markov categories

Author(s): Arthur J. Parzygnat
Published in: 2020
Publisher: arXiv

Noncommutative Differential K-theory

Author(s): Byungdo Park, Arthur J. Parzygnat, Corbett Redden, Augusto Stoffel
Published in: 2021
Publisher: arXiv

Super instanton counting and localization

Author(s): Taro Kimura, Vasily Pestun
Published in: 2019
Publisher: arXiv

Towards non-perturbative quantization and the mass gap problem for the Yang-Mills Field

Author(s): Alexey Sevostyanov
Published in: 2021
Publisher: arXiv

Quantum affine algebras and Grassmannians

Author(s): Wen Chang, Bing Duan, Chris Fraser, Jian-Rong Li
Published in: 2019
Publisher: arXiv

Gamma function solutions to the star-triangle equation

Author(s): Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade, Gonenc Mogol
Published in: 2020
Publisher: arXiv

Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture

Author(s): Alexey Sevostyanov
Published in: 2021
Publisher: arXiv

Conditional Distributions for Quantum Systems

Author(s): Arthur J. Parzygnat
Published in: 2021
Publisher: arXiv

Lax matrices from antidominantly shifted Yangians and quantum affine algebras

Author(s): Rouven Frassek, Vasily Pestun, Alexander Tsymbaliuk
Published in: 2020
Publisher: arXiv

R matrix for quantum superalgebra sl(2|1) at roots of unity and its application to centralizer algebras

Author(s): Alexander Mazurenko, Vladimir A. Stukopin
Published in: 2019
Publisher: arXiv

Tensor network language model

Author(s): Vasily Pestun, Yiannis Vlassopoulos
Published in: arXiv, 2017
Publisher: arXiv

Language as a matrix product state

Author(s): Vasily Pestun, John Terilla, Yiannis Vlassopoulos
Published in: arXiv, 2017
Publisher: arXiv

The holomorphic bosonic string

Author(s): Owen Gwilliam, Brian Williams
Published in: arXiv, 2017, ISSN 2331-8422
Publisher: Cornell University

From minimal gravity to open intersection theory

Author(s): Alexander Alexandrov, Hisayoshi Muraki, Chaiho Rim
Published in: arXiv, 2019, ISSN 2331-8422
Publisher: Cornell University

Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I

Author(s): Michele Cirafici, Michele Del Zotto
Published in: arXiv, 2017
Publisher: arXiv

qKZ/tRS Duality via Quantum K-Theoretic Counts

Author(s): Peter Koroteev
Published in: arXiv, 2018
Publisher: arXiv

A functorial characterization of von Neumann entropy

Author(s): Arthur J. Parzygnat
Published in: 2020
Publisher: arXiv

A Taxonomy of Twists of Supersymmetric Yang--Mills Theory

Author(s): Chris Elliott, Pavel Safronov, Brian R. Williams
Published in: 2020
Publisher: arXiv

Twisted reduction of quiver W-algebras

Author(s): Taro Kimura, Vasily Pestun
Published in: 2019
Publisher: arXiv

Equivariant birational geometry and modular symbols

Author(s): Maxim Kontsevich, Vasily Pestun, Yuri Tschinkel
Published in: 2019
Publisher: arXiv

Non-peer reviewed articles (1)

Weighted Hurwitz Numbers and Topological Recursion

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Communications in Mathematical Physics, Issue 375/1, 2020, Page(s) 237-305, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03717-0