Solving gauge theories in 4D: Exact correlation functions from integrability

Project Information

EXACTC

Grant agreement ID: 865075

DOI

10.3030/865075

Project closed

EC signature date 19 December 2019

Start date 1 March 2020

End date 28 February 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 922 232,00

EU contribution

€ 1 922 232,00

Coordinated by

KING'S COLLEGE LONDON
United Kingdom

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 (28)

New approach to strongly coupled $$ \mathcal{N} $$ = 4 SYM via integrability

Author(s): Simon Ekhammar, Nikolay Gromov, Paul Ryan
Published in: Journal of High Energy Physics, Issue 2024, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2024)165

Separation of variables in AdS/CFT: functional approach for the fishnet CFT

Author(s): Andrea Cavaglià, Nikolay Gromov, Fedor Levkovich-Maslyuk
Published in: Journal of High Energy Physics, Issue 2021/6, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2021)131

Wilson Loops with Lagrangians: Large-Spin Operator Product Expansion and Cusp Anomalous Dimension Dictionary

Author(s): Till Bargheer, Carlos Bercini, Bruno Fernandes, Vasco Gonçalves, Jeremy Mann
Published in: Physical Review Letters, Issue 134, 2025, Page(s) 141601, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.134.141601

Exploring the ground state spectrum of γ-deformed N = 4 SYM

Author(s): Fedor Levkovich-Maslyuk, Michelangelo Preti
Published in: Journal of High Energy Physics, Issue 2022, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2022)146

Fast QSC solver: tool for systematic study of $$ \mathcal{N} $$ = 4 Super-Yang-Mills spectrum

Author(s): Nikolay Gromov, Árpád Hegedűs, Julius Julius, Nika Sokolova
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2024)185

Open fishchain in N = 4 Supersymmetric Yang-Mills Theory

Author(s): Nikolay Gromov, Julius Julius, Nicolò Primi
Published in: Journal of High Energy Physics, Issue 2021/7, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)127

Form-factors and complete basis of observables via separation of variables for higher rank spin chains

Author(s): Nikolay Gromov, Nicolo Primi, Paul Ryan
Published in: JHEP, Issue 10298479, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2202.01591

Integrability and Conformal Bootstrap: One Dimensional Defect CFT

Author(s): Andrea Cavaglià, Nikolay Gromov, Julius Julius, Michelangelo Preti
Published in: PhysRevD, 2021, ISSN 0556-2821
Publisher: PhysRevD
DOI: 10.1103/physrevd.105.l021902

Regge trajectories of $$ \mathcal{N}=4 $$ SYM. Part I. General Asymptotic Baxter-Bethe Ansatz

Author(s): Simon Ekhammar, Nikolay Gromov, Michelangelo Preti
Published in: Journal of High Energy Physics, Issue 2026, 2026, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2026)027

The ABJM Hagedorn Temperature from Integrability

Author(s): Simon Ekhammar, Joseph A. Minahan, Charles Thull
Published in: Journal of High Energy Physics, Issue 2023, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2023)066

Unmixing sub-leading Regge trajectories of $$ \mathcal{N} $$ = 4 Super-Yang-Mills

Author(s): Julius Julius, Nika Sergeevna Sokolova
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2025)200

Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

Author(s): F. Galvagno; Michelangelo Preti
Published in: Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-46 (2021), Issue 1, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2021)023

Probing line defect CFT with mixed-correlator bootstrability

Author(s): Andrea Cavaglià, Nikolay Gromov, Julius Julius, Michelangelo Preti, Nika Sergeevna Sokolova
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2025)165

Excited states of one-dimensional defect CFTs from the quantum spectral curve

Author(s): David Grabner, Nikolay Gromov, Julius Julius
Published in: Journal of High Energy Physics, Issue 2020/7, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2020)042

Quantum Spectral Curve for AdS_3/CFT_2 : a proposal

Author(s): Andrea Cavaglià, Nikolay Gromov, Bogdan Stefański, Jr. , Alessandro Torrielli
Published in: JHEP, Issue JHEP 12 (2021) 048, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2021)048

Computing four-point functions with integrability, bootstrap and parity symmetry

Author(s): Andrea Cavaglià, Nikolay Gromov, Michelangelo Preti
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2025)026

"Regge Spectroscopy of Higher-Twist States in <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline""><mml:mrow><mml:mi mathvariant=""script"">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math> Supersymmetric Yang-Mills Theory"

Author(s): Rob Klabbers, Michelangelo Preti, István M. Szécsényi
Published in: Physical Review Letters, Issue 132, 2024, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.132.191601

Demystifying the massless sector in AdS3 quantum spectral curve

Author(s): Simon Ekhammar, Nikolay Gromov, Bogdan Stefański
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2025)188

Boundary overlaps from Functional Separation of Variables

Author(s): Simon Ekhammar, Nikolay Gromov, Paul Ryan
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2024)268

Conformal field theory-data analysis for $$\mathcal{N}$$ = 4 Super-Yang-Mills at strong coupling

Author(s): Julius Julius, Nika Sokolova
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2024)090

Determinant form of correlators in high rank integrable spin chains via separation of variables

Author(s): Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan
Published in: Journal of High Energy Physics, Issue 2021/5, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2021)169

Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds

Author(s): Andrea Cavaglià, Nikolay Gromov, Julius Julius, Michelangelo Preti
Published in: JHEP 05 (2022) 164, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2022)164

Higher-point correlators in $$ \mathcal{N}=4 $$ SYM: generating functions

Author(s): Till Bargheer, Albert Bekov, Carlos Bercini, Frank Coronado
Published in: Journal of High Energy Physics, Issue 2026, 2026, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2026)161

The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry

Author(s): Nikolay Gromov, Amit Sever
Published in: JHEP 02 (2020) 035, Issue JHEP 02 (2020) 035, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2020)035

Integrated correlators from integrability: Maldacena-Wilson line in $$ \mathcal{N} $$ = 4 SYM

Author(s): Andrea Cavaglià, Nikolay Gromov, Julius Julius, Michelangelo Preti
Published in: Journal of High Energy Physics, Issue 2023, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2023)026

Colour-twist operators. Part I. Spectrum and wave functions

Author(s): Andrea Cavaglià, David Grabner, Nikolay Gromov, Amit Sever
Published in: Journal of High Energy Physics, Issue 2020/6, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2020)092

Exploring the Quantum Spectral Curve for AdS3/CFT2

Author(s): Andrea Cavaglià, Simon Ekhammar, Nikolay Gromov, Paul Ryan
Published in: Journal of High Energy Physics, Issue 2023, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2023)089

Dual separated variables and scalar products

Author(s): Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan, Dmytro Volin
Published in: Physics Letters B, Issue 806, 2020, Page(s) 135494, ISSN 0370-2693
Publisher: Elsevier BV
DOI: 10.1016/j.physletb.2020.135494

Book chapters (2)

Chapter 13: = 4 SYM Quantum Spectral Curve in BFKL Regime

Author(s): Mikhail Alfimov, Nikolay Gromov, Vladimir Kazakov
Published in: 2021
Publisher: World Scientific
DOI: 10.48550/arxiv.2003.03536

N=4 SYM Quantum Spectral Curve in BFKL regime

Author(s): Mikhail Alfimov, Nikolay Gromov, Vladimir Kazakov
Published in: From the Past to the Future, The Legacy of Lev Lipatov, 2021, ISBN 978-981-123-111-7
Publisher: World Scientific
DOI: 10.1142/9789811231124_0013

Other (6)

Integrability and the spectrum of two-dimensional fishnet CFT

Author(s): Simon Ekhammar, Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan
Published in: (preprint, under review), Issue 2025 (submitted), 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2512.22996

Short strings in three-dimensional anti-de Sitter space: from weak to strong coupling

Author(s): Simon Ekhammar, Nikolay Gromov, Bogdan Stefański, Christian Thull
Published in: (preprint, under review), Issue 2026 (submitted January 2026), 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2601.21992

Higher-point correlators in N=4 SYM: ten-dimensional null polygons

Author(s): Till Bargheer, Albert Bekov, Carlos Bercini, Frank Coronado
Published in: Journal of High Energy Physics (preprint), Issue 2025 (submitted), 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2512.19780

A Rosetta stone for Wilson line defects

Author(s): Julius Julius, Nika Sergeevna Sokolova
Published in: (preprint, under review), Issue 2025 (submitted), 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2512.23634

Orthogonality of Q-functions up to wrapping in planar N=4 super Yang-Mills theory

Author(s): Till Bargheer, Carlos Bercini, Andrea Cavaglà, Davide Lai, Paul Ryan
Published in: (preprint, under review), Issue 2025 (submitted), 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2507.00110

Gluing quantum spectral curves: a two-copy osp(4|2) construction

Author(s): Filipp Chernikov, Simon Ekhammar, Nikolay Gromov, Benjamin Smith
Published in: Journal of High Energy Physics (accepted, in press), Issue 2025 (accepted), 2025
Publisher: Springer
DOI: 10.48550/arxiv.2511.09654