The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
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Publication:2332220
DOI10.1007/JHEP09(2019)061zbMath1423.81174arXiv1906.07116MaRDI QIDQ2332220
Georgios Papathanasiou, Matt von Hippel, Andrew J. McLeod, Falko Dulat, Lance J. Dixon, Simon Caron-Huot
Publication date: 1 November 2019
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07116
Supersymmetric field theories in quantum mechanics (81T60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)
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Uses Software
Cites Work
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- The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
- Star integrals, convolutions and simplices
- Eliminating spurious poles from gauge-theoretic amplitudes
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
- Scattering amplitudes at strong coupling for 4K gluons
- Mixed Tate motives over \(\mathbb{Z}\)
- The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in \( \mathcal{N} = 4 \) SYM
- The one-loop one-mass hexagon integral in \(D = 6\) dimensions
- 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
- Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
- Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
- Prescriptive unitarity
- Hexagon functions and the three-loop remainder function
- On planar gluon amplitudes/Wilson loops duality
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- Hexagon Wilson loop = six-gluon MHV amplitude
- Multiple polylogarithms, cyclotomy and modular complexes
- Cluster algebras. II: Finite type classification
- All-helicity symbol alphabets from unwound amplituhedra
- The Galois coaction on the electron anomalous magnetic moment
- Multi-loop positivity of the planar \(\mathcal{N} = 4 \) SYM six-point amplitude
- Heptagons from the Steinmann cluster bootstrap
- Cluster functions and scattering amplitudes for six and seven points
- Feynman amplitudes, coaction principle, and cosmic Galois group
- Notes on motivic periods
- The Galois coaction on \(\phi^4\) periods
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- From polygons and symbols to polylogarithmic functions
- Three-mass triangle integrals and single-valued polylogarithms
- Geometry of configurations, polylogarithms, and motivic cohomology
- Bootstrapping the three-loop hexagon
- Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
- Pulling the straps of polygons
- 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
- Graphical functions and single-valued multiple polylogarithms
- Galois symmetries of fundamental groupoids and noncommutative geometry
- The double pentaladder integral to all orders
- The Sklyanin bracket and cluster adjacency at all multiplicity
- Cluster adjacency beyond MHV
- Cluster adjacency and the four-loop NMHV heptagon
- The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
- MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- OPE for all helicity amplitudes
- Positive amplitudes in the amplituhedron
- Local integrand representations of all two-loop amplitudes in planar SYM
- Hedgehog bases for \(A_{n}\) cluster polylogarithms and an application to six-point amplitudes
- Single-valued integration and superstring amplitudes in genus zero
- A mad day’s work: from Grothendieck to Connes and Kontsevich The evolution of concepts of space and symmetry
- Cluster algebras I: Foundations
- Grassmannian Geometry of Scattering Amplitudes
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- Motivic multiple zeta values and superstring amplitudes
- Cluster polylogarithms for scattering amplitudes
- Scattering Amplitudes in Gauge Theory and Gravity
- On the decomposition of motivic multiple zeta values
- Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics
- Y-system for scattering amplitudes
- Scattering amplitudes and Wilson loops in twistor space
- Ambiguity theory, old and new
- Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
- Cluster ensembles, quantization and the dilogarithm
- Galois theory, motives and transcendental numbers
- Iterated path integrals
- Volumes of hyperbolic manifolds and mixed Tate motives
- HARMONIC POLYLOGARITHMS
- Special values of multiple polylogarithms
- Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
- Many odd zeta values are irrational
- SAGE
