\(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series

DOI10.1007/JHEP05(2018)194zbMath1391.83100arXiv1803.10250MaRDI QIDQ1651208

Axel Kleinschmidt, Olof Ahlén

Publication date: 11 July 2018

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

Full work available at URL: https://arxiv.org/abs/1803.10250

zbMATH Keywords

M-theorystring dualitysuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) (2)-body potential quantum scattering theory (81U05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (14)

Zero mode of the Fourier series of some modular graphs from Poincaré series ⋮ Towards closed strings as single-valued open strings at genus one ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Modular graph functions and odd cuspidal functions. Fourier and Poincaré series ⋮ Modular-invariant large-\(N\) completion of an integrated correlator in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Integral of two-loop modular graph functions ⋮ Worldsheet (anti)instanton bound states in type II on \(T^2\) ⋮ 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 ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher derivative type II string effective actions, automorphic forms and \(E_{11}\)
• \(R^4\) couplings and automorphic unipotent representations
• Small representations, string instantons, and Fourier modes of Eisenstein series
• \(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction
• Eisenstein series for higher-rank groups and string theory amplitudes
• S-duality invariant dilaton couplings at order \(\alpha^{\prime 3}\)
• The closed-string 3-loop amplitude and S-duality
• On the functional equations satisfied by Eisenstein series
• Effects of D-instantons
• On \(R^4\) threshold corrections in type IIB string theory and \((p,q)\)-string instantons
• Unity of superstring dualities.
• Loops in exceptional field theory
• Tetrahedral modular graph functions
• Modular graph functions
• Cancellation of divergences up to three loops in exceptional field theory
• \(\epsilon\nabla^{4}R^{4}\) type invariants and their gradient expansion
• Eisenstein series for infinite-dimensional U-duality groups
• Eisenstein series and string thresholds.
• Constraints on automorphic forms of higher derivative terms from compactification
• A new look at one-loop integrals in string theory
• String theory dualities and supergravity divergences
• The two \(\nabla^6R^4\) type invariants and their higher order generalisation
• On the modular structure of the genus-one type II superstring low energy expansion
• Supergravity divergences, supersymmetry and automorphic forms
• Infrared divergences and harmonic anomalies in the two-loop superstring effective action
• The automorphic NS5-brane
• The D ⁶ ℛ ⁴ term from three loop maximal supergravity
• Proving relations between modular graph functions
• Supersymmetry constraints on the $\mathcal {R}^4$ multiplet in type IIB string theory on T ²
• Eisenstein Series and Automorphic Representations
• A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces

This page was built for publication: \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series