Pith. sign in

REVIEW 4 cited by

Algebraic singularities of scattering amplitudes from tropical geometry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1912.08217 v1 pith:7QJG3ONR submitted 2019-12-17 hep-th

James Drummond , Jack Foster , Ömer Gürdoğan , Chrysostomos Kalousios This is my paper
classification hep-th
keywords amplitudesfinitelettersscatteringtropicalalgebraicalgebrasalphabet
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar $\mathcal{N}=4$ super Yang-Mills theory. We argue that connections between cluster algebras and tropical geometry provide a natural language for postulating a finite alphabet for scattering amplitudes beyond six and seven points where the corresponding Grassmannian cluster algebras are finite. As well as generating natural finite sets of letters, the tropical fans we discuss provide letters containing square roots. Remarkably, the minimal fan we consider provides all the square root letters recently discovered in an explicit two-loop eight-point NMHV calculation.

Discussion (0). Sign in to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0 of 10

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

  2. Geometric Landau Analysis and Symbol Bootstrap

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

  3. Kinematics, cluster algebras and Feynman integrals

    hep-th 2021-12 unverdicted novelty 7.0 of 10

    Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.

  4. Novel cluster-algebraic letters for 5- and 6-point QCD processes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.

Pith tools