Non-holomorphic modular forms from zeta generators
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Publication:6647377
DOI10.1007/JHEP10(2024)053MaRDI QIDQ6647377
Joshua Drewitt, Daniele Dorigoni, Martijn Hidding, O. Schlotterer, Leila Schneps, Bram Verbeek, Axel Kleinschmidt, Mehregan Doroudiani
Publication date: 3 December 2024
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Quantum field theory; related classical field theories (81Txx) Discontinuous groups and automorphic forms (11Fxx) Zeta and (L)-functions: analytic theory (11Mxx)
Cites Work
- Motivic coaction and single-valued map of polylogarithms from zeta generators
- Integral of depth zero to three basis of modular graph functions
- A double copy from twisted (co)homology at genus one
- Title not available (Why is that?)
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- Mixed Tate motives over \(\mathbb{Z}\)
- The one-loop \(H^{2}R^{3}\) and \(H^{2}(\nabla H)^{2}R\) terms in the effective action
- \(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction
- Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge kinematics
- The multiple zeta value data mine
- Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
- Holomorphic subgraph reduction of higher-point modular graph forms
- From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
- Multiparticle one-loop amplitudes and S-duality in closed superstring theory
- Eine Verallgemeinerung der Abelschen Integrale
- On integrals attached to automorphic forms
- Lectures on modular functions of one complex variable. Notes by Sunder Lal. Rev. ed
- Periods of modular forms and Jacobi theta functions
- Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus
- Hierarchy of modular graph identities
- Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- On the algebraic structure of iterated integrals of quasimodular forms
- Tetrahedral modular graph functions
- Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
- Differential equations in automorphic forms
- Higher genus modular graph functions, string invariants, and their exact asymptotics
- Identities between modular graph forms
- Modular graph functions
- Notes on motivic periods
- Fourier series of modular graph functions
- One-loop BPS amplitudes as BPS-state sums
- On the stable derivation algebra associated with some braid groups
- Single-valued multiple polylogarithms in one variable
- The multiple zeta value algebra and the stable derivation algebra
- On some derivations of Lie algebras related to Galois representations
- Elliptic modular graph forms. I: Identities and generating series
- Coaction and double-copy properties of configuration-space integrals at genus zero
- Integrating three-loop modular graph functions and transcendentality of string amplitudes
- Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems
- Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms
- Modular iterated integrals associated with cusp forms
- All-order differential equations for one-loop closed-string integrals and modular graph forms
- One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points
- Elliptic double shuffle, Grothendieck-Teichmüller and mould theory
- Generating series of all modular graph forms from iterated Eisenstein integrals
- Notes on the universal elliptic KZB connection
- Absence of irreducible multiple zeta-values in melon modular graph functions
- Genus-zero and genus-one string amplitudes and special multiple zeta values
- Integral of two-loop modular graph functions
- Exploring transcendentality in superstring amplitudes
- A class of non-holomorphic modular forms. I
- A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\)
- Graphical functions and single-valued multiple polylogarithms
- Galois symmetries of fundamental groupoids and noncommutative geometry
- A new look at one-loop integrals in string theory
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- On the derivation representation of the fundamental Lie algebra of mixed elliptic motives
- Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant
- Closed string amplitudes as single-valued open string amplitudes
- Elliptic associators
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- On the modular structure of the genus-one type II superstring low energy expansion
- Single-valued integration and superstring amplitudes in genus zero
- Identities among higher genus modular graph tensors
- Laplace-eigenvalue equations for length three modular iterated integrals
- Single-valued hyperlogarithms, correlation functions and closed string amplitudes
- To the cusp and back: resurgent analysis for modular graph functions
- Modular graph forms from equivariant iterated Eisenstein integrals
- Multiple zeta functions, multiple polylogarithms and their special values
- Poisson equation for the mercedes diagram in string theory at genus one
- Motivic multiple zeta values and superstring amplitudes
- On the decomposition of motivic multiple zeta values
- Analogues elliptiques des nombres multiz\'etas
- Proving relations between modular graph functions
- Poisson equation for the three-loop ladder diagram in string theory at genus one
- ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE
- Relations between elliptic multiple zeta values and a special derivation algebra
- A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
- Volumes of hyperbolic manifolds and mixed Tate motives
- Eisenstein Series and Automorphic Representations
- Universal KZB Equations: The Elliptic Case
- Elliptic Multizetas and the Elliptic Double Shuffle Relations
- Towards closed strings as single-valued open strings at genus one
- UNIVERSAL MIXED ELLIPTIC MOTIVES
- Closed strings as single-valued open strings: a genus-zero derivation
- Simplifying the one-loop five graviton amplitude in type IIB string theory
- Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
- SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES
- Basis decompositions and a Mathematica package for modular graph forms
- 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
- A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces
- Intersections of twisted forms: new theories and double copies
- Two string theory flavours of generalised Eisenstein series
- Tree-level amplitudes from the pure spinor superstring
- Relations between integrated correlators in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory
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