Positive Geometry in Particle Physics and Cosmology

Project Information

UNIVERSE PLUS

Grant agreement ID: 101118787

DOI

10.3030/101118787

EC signature date 5 December 2023

Start date 1 June 2024

End date 31 May 2030

Funded under

• European Research Council (ERC)

Total cost

€ 10 000 000,00

EU contribution

€ 10 000 000,00

Coordinated by

MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
Germany

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 (21)

Algebraic and Positive Geometry of the Universe: From Particles to Galaxies

Author(s): Claudia Fevola, Anna-Laura Sattelberger
Published in: Notices of the American Mathematical Society, Issue 72, 2025, ISSN 1088-9477
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/NOTI3220

Tropical geometry, quantum affine algebras, and scattering amplitudes

Author(s): Nick Early, Jian-Rong Li
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 57, 2024, ISSN 1751-8113
Publisher: IOP Publishing
DOI: 10.1088/1751-8121/AD909B

Open string amplitudes: singularities, asymptotics and new representations

Author(s): Nima Arkani-Hamed, Carolina Figueiredo, Grant N. Remmen
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)039

Letters in Mathematical Physics

Author(s): Bernd Sturmfels; Máté L. Telek
Published in: Letters in Mathematical Physics, 2025, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.48550/ARXIV.2504.01628

The CEGM NLSM

Author(s): Nick Early
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)030

Positive del Pezzo geometry

Author(s): Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels, Claudia He Yun
Published in: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Issue 12, 2025, ISSN 2308-5827
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/AIHPD/205

Hyperplane Arrangements in the Grassmannian

Author(s): E. Mazzucchelli; D. Pavlov; K. Wang
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.16

Surface Kinematics and the Canonical Yang-Mills All-Loop Integrand

Author(s): Nima Arkani-Hamed, Qu Cao, Jin Dong, Carolina Figueiredo, Song He
Published in: Physical Review Letters, Issue 134, 2025, ISSN 0031-9007
Publisher: American Physical Society (APS)
DOI: 10.1103/PHYSREVLETT.134.171601

Differential Equations for Moving Hyperplane Arrangements

Author(s): A. Pfister; A.-L. Sattelberger
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.17

Complete monotonicity of log-functions

Author(s): Rourou Ma, Julian Weigert
Published in: Analysis and Mathematical Physics, Issue 15, 2025, ISSN 1664-2368
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S13324-025-01136-9

Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order

Author(s): Jeffrey V. Backus, Laurentiu Rodina
Published in: Physical Review Letters, Issue 135, 2025, ISSN 0031-9007
Publisher: American Physical Society (APS)
DOI: 10.1103/7LWK-M5YB

Kinematic Varieties for Massless Particles

Author(s): S. Rajan; S. Sverrisdóttir; B. Sturmfels
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.19

Surface gauge invariance, soft limits and the transmutation of gluons into scalars

Author(s): Jeffrey V. Backus, Carolina Figueiredo
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP09(2025)069

How to stab a polytope

Author(s): S. Seemann; F. Zaffalon
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.20

Algebraic Approaches to Cosmological Integrals

Author(s): Fevola, C.; Leite Pimentel, G.; Sattelberger, A. L.; Westerdijk, T.
Published in: Le Matematiche, 2024, ISSN 2037-5298
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.12

Minimal Kinematics on $\mathcal{M}_{0,n}$

Author(s): Nick Early, Anaëlle Pfister, Bernd Sturmfels
Published in: Moduli, Issue 2, 2025, ISSN 2949-7647
Publisher: Wiley
DOI: 10.1112/MOD.2025.10003

Journal of High Energy Physics

Author(s): Bruno Giménez Umbert; Bernd Sturmfels
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/ARXIV.2501.10805

Uniqueness of MHV Gravity Amplitudes

Author(s): J. Koefler; U. Oktem; S. Paranjape; J. Trnka; B. Zacovic
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.14

Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

Author(s): Nick Early, Jian-Rong Li
Published in: Journal of Algebraic Combinatorics, Issue 62, 2025, ISSN 0925-9899
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S10801-025-01435-1

The Chirotropical Grassmannian

Author(s): Antolini, Dario; Early, Nick
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.4

Cosmohedra

Author(s): Nima Arkani-Hamed, Carolina Figueiredo, Francisco Vazão
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP11(2025)029