Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
DOI10.1007/JHEP10(2021)007zbMath1476.81118arXiv2106.01392OpenAlexW3171830449MaRDI QIDQ825616
Niklas Henke, Georgios Papathanasiou
Publication date: 17 December 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.01392
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) (S)-matrix theory, etc. in quantum theory (81U20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Applications of tropical geometry (14T90)
Related Items (11)
Cites Work
- Unnamed Item
- Unnamed Item
- The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
- Line defects, tropicalization, and multi-centered quiver quantum mechanics
- Eliminating spurious poles from gauge-theoretic amplitudes
- An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
- A duality for the S matrix
- Comments on gluon scattering amplitudes via AdS/CFT
- A simple collinear limit of scattering amplitudes at strong coupling
- Thermodynamic bubble ansatz
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
- Cluster mutation-periodic quivers and associated Laurent sequences
- Elliptic Feynman integrals and pure functions
- An operator product expansion for polygonal null Wilson loops
- Hexagon Wilson loop OPE and harmonic polylogarithms
- Hexagon functions and the three-loop remainder function
- Notes on polytopes, amplitudes and boundary configurations for Grassmannian string integrals
- Tropical Grassmannians, cluster algebras and scattering amplitudes
- Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations
- Fermionic pentagons and NMHV hexagon
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Cluster algebras. II: Finite type classification
- Boundaries of amplituhedra and NMHV symbol alphabets at two loops
- All-helicity symbol alphabets from unwound amplituhedra
- Matrix pentagons
- Hexagon POPE: effective particles and tree level resummation
- Heptagons from the Steinmann cluster bootstrap
- Unwinding the amplituhedron in binary
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Local integrals for planar scattering amplitudes
- Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- The amplituhedron
- Algebraic branch points at all loop orders from positive kinematics and wall crossing
- Stringy canonical forms
- A note on letters of Yangian invariants
- Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes
- Positive configuration space
- Algebraic singularities of scattering amplitudes from tropical geometry
- A combinatorial approach to scattering diagrams
- Quantum affine algebras and Grassmannians
- Hexagon bootstrap in the double scaling limit
- Minimal kinematics: an all \(k\) and \(n\) peek into \(\mathrm{Trop}^+ \mathrm{G}(k,n)\)
- Solution to the Ward identities for superamplitudes
- Bootstrapping the three-loop hexagon
- Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
- Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
- Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
- Scattering equations: from projective spaces to tropical Grassmannians
- The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
- Galois symmetries of fundamental groupoids and noncommutative geometry
- The tropical totally positive Grassmannians
- The Sklyanin bracket and cluster adjacency at all multiplicity
- Cluster adjacency and the four-loop NMHV heptagon
- The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
- OPE for all helicity amplitudes
- OPE for all helicity amplitudes. II: Form factors and data analysis
- Lifting heptagon symbols to functions
- Generalized planar Feynman diagrams: collections
- Cluster configuration spaces of finite type
- Cluster algebras I: Foundations
- Grassmannian Geometry of Scattering Amplitudes
- Hexagonal Wilson loops in planar ${ \mathcal N }=4$ SYM theory at finite coupling
- Cluster automorphisms
- Evaluating the six-point remainder function near the collinear limit
- On the decomposition of motivic multiple zeta values
- Cluster algebras IV: Coefficients
- Cluster ensembles, quantization and the dilogarithm
- Volumes of hyperbolic manifolds and mixed Tate motives
- Cluster algebras and continued fractions
- Scattering diagrams, Hall algebras and stability conditions
- The tropical Grassmannian
- Introduction to tropical algebraic geometry
- Brief introduction to tropical geometry
- Scattering Fans
- Nonsinglet pentagons and NMHV amplitudes
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