The Analytic Conformal Bootstrap

Project Information

ACB

Grant agreement ID: 787185

DOI

10.3030/787185

Project closed

EC signature date 16 April 2018

Start date 1 December 2018

End date 31 May 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 171 483,00

EU contribution

€ 2 171 483,00

Coordinated by

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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 (61)

Supersymmetric Five-Point Gluon Amplitudes in AdS Space.

Author(s): Luis F. Alday; Vasco Gonçalves; Xinan Zhou
Published in: Physical Review Letters, Issue 3, 2022, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.128.161601

Transverse spin in the light-ray OPE

Author(s): Chang, Cyuan-Han and Kologlu, Murat and Kravchuk, Petr and Simmons-Duffin, David and Zhiboedov, Alexander
Published in: Journal of High Energy Physics, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2022)059

Emergent Supersymmetry on the Edges

Author(s): Jin-Beom Bae; Sungjay Lee
Published in: SciPost Physics, Vol 11, Iss 5, p 091 (2021), Issue 1, 2021, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.11.5.091

On the spectrum and structure constants of short operators in N=4 SYM at strong coupling

Author(s): Luis F. Alday, Tobias Hansen, Joao A. Silva
Published in: Journal of High Energy Physics, Issue 2023, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep08(2023)214

Discovering T-dualities of little string theories

Author(s): Lakshya Bhardwaj
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2024)046

Non-invertible symmetry webs

Author(s): Lakshya Bhardwaj, Lea E. Bottini, Sakura Schäfer-Nameki, Apoorv Tiwari
Published in: SciPost Physics, Issue 15, 2023, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.15.4.160

Generalized charges, part I: Invertible symmetries and higher representations

Author(s): Lakshya Bhardwaj, Sakura Schäfer-Nameki
Published in: SciPost Physics, Issue 16, 2024, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.16.4.093

All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs

Author(s): Luis F. Alday, Xinan Zhou
Published in: Physical Review X, Issue 11/1, 2021, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.11.011056

Liberating confinement from Lagrangians: 1-form symmetries and lines in 4d N=1 from 6d N=(2,0)

Author(s): Hubner, M; Bhardwaj, L; Schafer-Nameki, S
Published in: SciPost Physics, Vol 12, Iss 1, p 040 (2022), Issue 5, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.48550/arxiv.2106.10265

2-Group symmetries in class S

Author(s): Bhardwaj, Lakshya
Published in: SciPost Physics, Issue 2, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.12.5.152

6d (2, 0) and M-theory at 1-loop

Author(s): Luis F. Alday, Shai M. Chester, Himanshu Raj
Published in: Journal of High Energy Physics, Issue 2021/1, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2021)133

Holographic S-fold theories at one loop

Author(s): Behan, C
Published in: Crossref, Issue 1, 2022, ISSN 2542-4653
Publisher: SciPost physics
DOI: 10.48550/arxiv.2202.05261

Disconnected 0-form and 2-group symmetries

Author(s): Lakshya Bhardwaj, Dewi S. W. Gould
Published in: Journal of High Energy Physics, Issue 2023, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2023)098

The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs

Author(s): Apruzzi, F; Schäfer-Nameki, S; Bhardwaj, L; Oh, J
Published in: SciPost Physics, Issue 13, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.13.2.024

Supersymmetric indices factorize

Author(s): Iliesiu, Luca V. and Kologlu, Murat and Turiaci, Gustavo J.
Published in: Journal of High Energy Physics, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2023)032

Bootstrapping boundary-localized interactions II: Minimal models at the boundary

Author(s): Connor Behan; Lorenzo Di Pietro; Edoardo Lauria; Balt C. van Rees
Published in: Journal of High Energy Physics, Issue 1, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2022)146

The AdS Virasoro-Shapiro amplitude

Author(s): Luis F. Alday, Tobias Hansen
Published in: Journal of High Energy Physics, Issue 2023, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2023)023

2-Group symmetries and their classification in 6d

Author(s): Apruzzi, F; Bhardwaj, L; Gould, D; Schafer-Nameki, S
Published in: SciPost Physics, Issue 1, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.12.3.098

On the spectrum of pure higher spin gravity

Author(s): Luis F. Alday, Jin-Beom Bae, Nathan Benjamin, Carmen Jorge-Diaz
Published in: Journal of High Energy Physics, Issue 2020/12, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2020)001

Modular invariant holographic correlators for $ \mathcal{N} $ = 4 SYM with general gauge group

Author(s): Alday, Luis F. and Chester, Shai M. and Hansen, Tobias
Published in: Journal of High Energy Physics, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2021)159

SL(2, ℤ) action on QFTs with ℤ2 symmetry and the Brown-Kervaire invariants

Author(s): Lakshya Bhardwaj, Yasunori Lee, Yuji Tachikawa
Published in: Journal of High Energy Physics, Issue 2020/11, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2020)141

Analytic and numerical bootstrap for the long-range Ising model

Author(s): Connor Behan, Edoardo Lauria, Maria Nocchi, Philine van Vliet
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2024)136

Anomalies of generalized symmetries from solitonic defects

Author(s): Lakshya Bhardwaj, Mathew Bullimore, Andrea E. V. Ferrari, Sakura Schäfer-Nameki
Published in: SciPost Physics, Issue 16, 2024, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.16.3.087

Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S

Author(s): Bhardwaj, L; Giacomelli, S; Hübner, M; Schäfer-Nameki, S
Published in: SciPost Physics, Issue 3, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.13.4.101

Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs

Author(s): Pietro Ferrero, Kausik Ghosh, Aninda Sinha, Ahmadullah Zahed
Published in: Journal of High Energy Physics, Issue 2020/7, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2020)170

The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop

Author(s): António Antunes; Miguel S. Costa; Tobias Hansen; Aaditya Salgarkar; Sourav Sarkar
Published in: Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-69 (2021), Issue 1, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2021)088

Holographic correlators at finite temperature

Author(s): Luis F. Alday, Murat Koloğlu, Alexander Zhiboedov
Published in: Journal of High Energy Physics, Issue 2021/6, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2021)082

M-theory on AdS$_{4}$\texttimes{} S$^{7}$ at 1-loop and beyond

Author(s): Alday, Luis F. and Chester, Shai M. and Raj, Himanshu
Published in: Journal of High Energy Physics, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2022)091

AdS Virasoro-Shapiro amplitude with KK modes

Author(s): Giulia Fardelli, Tobias Hansen, Joao A. Silva
Published in: Journal of High Energy Physics, Issue 2023, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2023)064

Non-invertible higher-categorical symmetries

Author(s): Bhardwaj, Lakshya; Bottini, Lea E.; Schafer-Nameki, Sakura; Tiwari, Apoorv
Published in: SciPost Physics, Issue 3, 2023, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.14.1.007

Rademacher expansions and the spectrum of 2d CFT

Author(s): Luis F. Alday, Jin-Beom Bae
Published in: Journal of High Energy Physics, Issue 2020/11, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2020)134

Detectors in weakly-coupled field theories

Author(s): Simon Caron-Huot; Murat Koloğlu; Petr Kravchuk; David Meltzer; David Simmons-Duffin
Published in: Journal of High Energy Physics, Issue 1, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2023)014

High Energy String Scattering in AdS

Author(s): Luis F. Alday, Tobias Hansen, Maria Nocchi
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2024)089

Universal Non‐Invertible Symmetries

Author(s): Lakshya Bhardwaj, Sakura Schäfer‐Nameki, Jingxiang Wu
Published in: Fortschritte der Physik, Issue 70, 2023, ISSN 0015-8208
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/prop.202200143

Gluon scattering in AdS from CFT

Author(s): Luis F. Alday, Connor Behan, Pietro Ferrero, Xinan Zhou
Published in: Journal of High Energy Physics, Issue 2021/6, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2021)020

ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion

Author(s): Alday, LF; Chester, SM; Raj, H
Published in: Journal of High Energy Physics, Vol 2022, Iss 2, Pp 1-47 (2022), Issue 1, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2107.10274

Bootstrapping fermionic rational CFTs with three characters

Author(s): Bae, Jin-Beom; Duan, Zhihao; Lee, Kimyeong; Lee, Sungjay; Sarkis, Matthieu
Published in: Journal of High Energy Physics, Issue 1, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2022)089

More on holographic correlators: twisted and dimensionally reduced structures

Author(s): Connor Behan, Pietro Ferrero, Xinan Zhou
Published in: Journal of High Energy Physics, Issue 2021/4, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2021)008

The AdS Veneziano amplitude at small curvature

Author(s): Luis F. Alday, Shai M. Chester, Tobias Hansen, De-liang Zhong
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2024)322

Bootstrapping boundary-localized interactions

Author(s): Connor Behan, Lorenzo Di Pietro, Edoardo Lauria, Balt C. van Rees
Published in: Journal of High Energy Physics, Issue 2020/12, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2020)182

Generalized symmetries and anomalies of 3d $\mathcal{N}=4$ SCFTs

Author(s): Lakshya Bhardwaj, Mathew Bullimore, Andrea E. V. Ferrari, Sakura Schäfer-Nameki
Published in: SciPost Physics, Issue 16, 2024, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.16.3.080

One-loop gluon amplitudes in AdS

Author(s): Alday, Luis F. and Bissi, Agnese and Zhou, Xinan
Published in: Journal of High Energy Physics, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2022)105

On genus-one string amplitudes on AdS5 × S5

Author(s): Luis F. Alday
Published in: Journal of High Energy Physics, Issue 2021/4, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2021)005

Global form of flavor symmetry groups in 4d N=2 theories of class S

Author(s): Bhardwaj, Lakshya
Published in: SciPost Physics, Issue 3, 2022, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.12.6.183

Emergent Worldsheet for the AdS Virasoro-Shapiro Amplitude

Author(s): Luis F. Alday, Tobias Hansen, Joao A. Silva
Published in: Physical Review Letters, Issue 131, 2023, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.161603

An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N2

Author(s): Luis F. Alday, Johan Henriksson, Mark van Loon
Published in: Journal of High Energy Physics, Issue 2020/1, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP01(2020)063

Growing extra dimensions in AdS/CFT

Author(s): Luis F. Alday, Eric Perlmutter
Published in: Journal of High Energy Physics, Issue 2019/8, 2019, Page(s) all, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP08(2019)084

AdS Virasoro-Shapiro from single-valued periods

Author(s): Luis F. Alday, Tobias Hansen and Joao A. Silva
Published in: Journal of High Energy Physics, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2022)010

Relations between integrated correlators in $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory

Author(s): Luis F. Alday, Shai M. Chester, Daniele Dorigoni, Michael B. Green, Congkao Wen
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2024)044

Flavor symmetry of 5d SCFTs. Part II. Applications

Author(s): Lakshya Bhardwaj
Published in: Journal of High Energy Physics, Issue 2021/4, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2021)221

Lectures on generalized symmetries

Author(s): Lakshya Bhardwaj, Lea E. Bottini, Ludovic Fraser-Taliente, Liam Gladden, Dewi S.W. Gould, Arthur Platschorre, Hannah Tillim
Published in: Physics Reports, Issue 1051, 2024, Page(s) 1-87, ISSN 0370-1573
Publisher: Elsevier BV
DOI: 10.1016/j.physrep.2023.11.002

Pure Anti–de Sitter Supergravity and the Conformal Bootstrap

Author(s): Alday, LF; Chester, SM
Published in: Physical Review Letters, Issue 3, 2022, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.129.211601

Unifying constructions of non-invertible symmetries

Author(s): Lakshya Bhardwaj, Sakura Schäfer-Nameki, Apoorv Tiwari
Published in: SciPost Physics, Issue 15, 2023, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.15.3.122

Coupled Minimal Conformal Field Theory Models Revisited

Author(s): Antunes, A; Behan, C
Published in: Physical review letters 130(7), 071602 (2023). doi:10.1103/PhysRevLett.130.071602, Issue 1, 2023, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.130.071602

1-form symmetries of 4d N=2 class S theories

Author(s): Lakshya Bhardwaj; Max Hubner; Sakura Schafer-Nameki
Published in: SciPost Physics, Vol 11, Iss 5, p 096 (2021), Issue 1, 2021, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.11.5.096

Simplicity of AdS supergravity at one loop

Author(s): Luis F. Alday, Xinan Zhou
Published in: Journal of High Energy Physics, Issue 2020/9, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep09(2020)008

Six-point AdS gluon amplitudes from flat space and factorization

Author(s): Luis F. Alday, Vasco Gonçalves, Maria Nocchi, Xinan Zhou
Published in: Physical Review Research, Issue 6, 2024, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.6.l012041

"Can the energy bound <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline""><mml:mi>E</mml:mi><mml:mo>≥</mml:mo><mml:mn>0</mml:mn></mml:math> imply supersymmetry?"

Author(s): Jin-Beom Bae; Zhihao Duan; Sungjay Lee
Published in: Physical Review, Issue 1, 2023, ISSN 2470-0029
Publisher: APS
DOI: 10.1103/physrevd.107.045018

Unmixing the Wilson line defect CFT. Part II. Analytic bootstrap

Author(s): Pietro Ferrero, Carlo Meneghelli
Published in: Journal of High Energy Physics, Issue 2024, 2024, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2024)010

AdS Virasoro-Shapiro from dispersive sum rules

Author(s): Alday, Luis F. and Hansen, Tobias and Silva, Joao A.
Published in: Journal of High Energy Physics, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2022)036

All Tree-Level Correlators for M Theory on AdS 7 × S 4

Author(s): Luis F. Alday, Xinan Zhou
Published in: Physical Review Letters, Issue 125/13, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.125.131604

Non-peer reviewed articles (2)

Fermionic Rational Conformal Field Theories and Modular Linear Differential Equations

Author(s): Jin-Beom Bae, Zhihao Duan, Kimyeong Lee, Sungjay Lee, Matthieu Sarkis
Published in: Progress of Theoretical and Experimental Physics, 2021, ISSN 2050-3911
Publisher: arxiv
DOI: 10.1093/ptep/ptab033

Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling

Author(s): Ferrero, Pietro; Meneghelli, Carlo
Published in: Physical Review D, Issue 1, 2021, ISSN 2470-0029
Publisher: American Physical Society
DOI: 10.1103/physrevd.104.l081703

Other (1)

Flavor Symmetry of 5d SCFTs, Part 1: General Setup

Author(s): Bhardwaj, Lakshya
Published in: Issue 3, 2020
Publisher: arxiv