Combinatorics and topology of Kawai-Lewellen-Tye relations

From MaRDI portal
Publication:1700157

DOI10.1007/JHEP08(2017)097zbMath1381.83126arXiv1706.08527OpenAlexW2725794004MaRDI QIDQ1700157

Sebastian Mizera

Publication date: 2 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08527



Related Items

Heterotic and bosonic string amplitudes via field theory, Perturbiner methods for effective field theories and the double copy, Asymmetrically twisted strings, Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators, Scattering forms and the positive geometry of kinematics, color and the worldsheet, Weights, recursion relations and projective triangulations for positive geometry of scalar theories, Two dialects for KZB equations: generating one-loop open-string integrals, BCJ, worldsheet quantum algebra and KZ equations, Efficient calculation of crossing symmetric BCJ tree numerators, Single-valued integration and superstring amplitudes in genus zero, The algebraic structure of the KLT relations for gauge and gravity tree amplitudes, All-order differential equations for one-loop closed-string integrals and modular graph forms, The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes, From positive geometries to a coaction on hypergeometric functions, From infinity to four dimensions: higher residue pairings and Feynman integrals, Intersections of twisted forms: new theories and double copies, One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points, A Lie bracket for the momentum kernel, Open-string integrals with multiple unintegrated punctures at genus one, Real time lattice correlation functions from differential equations, Intersection numbers from higher-order partial differential equations, Tree-level amplitudes from the pure spinor superstring, Labelled tree graphs, Feynman diagrams and disk integrals, One-loop monodromy relations on single cuts, The complex null string, Galilean conformal algebra and scattering equations, One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations, Generating series of all modular graph forms from iterated Eisenstein integrals, Feynman integrals and intersection theory, Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings, Properties of scattering forms and their relation to associahedra, Gluons and gravitons at one loop from ambitwistor strings, Hyperbolic geometry and amplituhedra in 1+2 dimensions, Loop amplitudes monodromy relations and color-kinematics duality, String field theory as world-sheet UV regulator, A tree expansion formula of a homology intersection number on the configuration space \(\mathcal{M}_{0,n} \), KLT factorization of winding string amplitudes, Coaction and double-copy properties of configuration-space integrals at genus zero, Monodromy relations from twisted homology, Decomposition of Feynman integrals on the maximal cut by intersection numbers, Closed strings as single-valued open strings: a genus-zero derivation, Manifest colour-kinematics duality and double-copy in the string-based formalism, Properties of the \(\epsilon\)-expansion, Lagrange inversion and associahedra and the O(1) model, On positive geometry and scattering forms for matter particles, Duals of Feynman integrals. I: Differential equations, String correlators: recursive expansion, integration-by-parts and scattering equations, Towards positive geometry of multi scalar field amplitudes. Accordiohedron and effective field theory, On the computation of intersection numbers for twisted cocycles, Einstein Yang-Mills amplitudes from intersections of twisted forms, LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS, The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals


Uses Software


Cites Work