Motivic multiple zeta values and superstring amplitudes
From MaRDI portal
Publication:2873632
DOI10.1088/1751-8113/46/47/475401zbMath1280.81112arXiv1205.1516OpenAlexW2110481889MaRDI QIDQ2873632
Oliver Schlotterer, Stephan Stieberger
Publication date: 24 January 2014
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.1516
Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hopf algebras and their applications (16T05)
Related Items
The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory, String theory in target space, Subleading soft factor for string disk amplitudes, Heterotic and bosonic string amplitudes via field theory, Towards closed strings as single-valued open strings at genus one, Sv-map between type I and heterotic sigma models, Factorization of chiral string amplitudes, Universality in string interactions, Hierarchy of modular graph identities, Amplitude relations in heterotic string theory and Einstein-Yang-Mills, One-loop superstring six-point amplitudes and anomalies in pure spinor superspace, Elliptic multiple zeta values and one-loop superstring amplitudes, On the modular structure of the genus-one type II superstring low energy expansion, Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace, Soft theorems from anomalous symmetries, Single-valued integration and superstring amplitudes in genus zero, Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals, Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals, The double pentaladder integral to all orders, All-order differential equations for one-loop closed-string integrals and modular graph forms, Monodromy relations in higher-loop string amplitudes, Perfecting one-loop BCJ numerators in SYM and supergravity, Gravity, strings, modular and quasimodular forms, The Veneziano amplitude in \(\mathrm{AdS}_5\times\mathrm{S}^3\) from an 8-dimensional effective action, Transcendentality violation in type IIB string amplitudes, From positive geometries to a coaction on hypergeometric functions, Zhang-Kawazumi invariants and superstring amplitudes, Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action, Modular graph functions and odd cuspidal functions. Fourier and Poincaré series, RNS derivation of \(N\)-point disk amplitudes from the revisited S-matrix approach, One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points, Symmetries in A-type little string theories. II: Eisenstein series and generating functions of multiple divisor sums, From little string free energies towards modular graph functions, From maximal to minimal supersymmetry in string loop amplitudes, Tree-level amplitudes from the pure spinor superstring, A simplifying feature of the heterotic one loop four graviton amplitude, Combinatorics and topology of Kawai-Lewellen-Tye relations, Semi-abelian Z-theory: NLSM + \({\Phi}^3\) from the open string, Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon, Modular graph forms from equivariant iterated Eisenstein integrals, Tetrahedral modular graph functions, On the exactness of soft theorems, Superstring amplitudes as a Mellin transform of supergravity, Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure, On the field theory expansion of superstring five point amplitudes, Closed string amplitudes as single-valued open string amplitudes, Generating series of all modular graph forms from iterated Eisenstein integrals, String theory integrands and supergravity divergences, Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings, From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop, Higher-derivative couplings in string theory: five-point contact terms, Periods and Superstring Amplitudes, The Number Theory of Superstring Amplitudes, Overview on Elliptic Multiple Zeta Values, Systematics of the \(\alpha '\) expansion in F-theory, Unifying relations for scattering amplitudes, Inverse of the string theory KLT kernel, Abelian \(Z\)-theory: NLSM amplitudes and \(\alpha\)'-corrections from the open string, Wilson loop of the heterotic sigma model and the sv-map, The property of maximal transcendentality: calculation of Feynman integrals, An introduction to motivic Feynman integrals, Sequential discontinuities of Feynman integrals and the monodromy group, Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality, Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes, Fourier series of modular graph functions, Carving out the space of open-string S-matrix, Diagrammatic expansion of non-perturbative little string free energies, Superstring/supergravity Mellin correspondence in Grassmannian formulation, Strings on celestial sphere, Superstring amplitudes and the associator, Multiparticle one-loop amplitudes and S-duality in closed superstring theory, The closed-string 3-loop amplitude and S-duality, Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values, Hexagon functions and the three-loop remainder function, Coaction and double-copy properties of configuration-space integrals at genus zero, Sequences, modular forms and cellular integrals, Modular forms and SL(2, $\mathbb{Z}$)-covariance of type IIB superstring theory, Integral of two-loop modular graph functions, Exploring transcendentality in superstring amplitudes, Closed strings as single-valued open strings: a genus-zero derivation, SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES, Gauge \(\times\) gauge on spheres, One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands, Integrating three-loop modular graph functions and transcendentality of string amplitudes, Double copy for massive quantum particles with spin, The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes, String correlators: recursive expansion, integration-by-parts and scattering equations, KK-like relations of \(\alpha^\prime\) corrections to disk amplitudes, Einstein Yang-Mills amplitudes from intersections of twisted forms, Bootstrapping a stress-tensor form factor through eight loops, Differential equations, associators, and recurrences for amplitudes, LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS, The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy, The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals, The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals