Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
From MaRDI portal
Publication:667105
DOI10.1007/JHEP01(2019)052zbMath1409.83186arXiv1811.02548MaRDI QIDQ667105
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer
Publication date: 12 March 2019
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.02548
String and superstring theories in gravitational theory (83E30) Supergravity (83E50) (S)-matrix theory, etc. in quantum theory (81U20)
Related Items (24)
Towards closed strings as single-valued open strings at genus one ⋮ Laplace-eigenvalue equations for length three modular iterated integrals ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Little string instanton partition functions and scalar propagators ⋮ Modular graph functions and odd cuspidal functions. Fourier and Poincaré series ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ From little string free energies towards modular graph functions ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Eigenvalue equation for genus two modular graphs ⋮ Holomorphic subgraph reduction of higher-point modular graph forms ⋮ Discreteness and integrality in conformal field theory ⋮ Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Diagrammatic expansion of non-perturbative little string free energies ⋮ Exploring transcendentality in superstring amplitudes ⋮ One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands ⋮ String correlators: recursive expansion, integration-by-parts and scattering equations ⋮ 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 ⋮ Basis decompositions and a Mathematica package for modular graph 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
- Unnamed Item
- Unnamed Item
- Zhang-Kawazumi invariants and superstring amplitudes
- Basic concepts of string theory
- The one-loop \(H^{2}R^{3}\) and \(H^{2}(\nabla H)^{2}R\) terms in the effective action
- Explicit cancellation of triangles in one-loop gravity amplitudes
- Euclidean wormholes in string theory
- Integral invariants in maximally supersymmetric Yang-Mills theories
- \(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction
- Current algebra on the torus
- Elliptic Feynman integrals and pure functions
- 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
- Periods of modular forms and Jacobi theta functions
- Elliptic functions according to Eisenstein and Kronecker.
- Effects of D-instantons
- \(R^2\) corrections and non-perturbative dualities of \(N=4\) string ground states
- Unity of superstring dualities.
- Heterotic and bosonic string amplitudes via field theory
- Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus
- 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
- Feynman integrals and iterated integrals of modular forms
- Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals
- An elliptic generalization of multiple polylogarithms
- A simplifying feature of the heterotic one loop four graviton amplitude
- Combinatorics and topology of Kawai-Lewellen-Tye relations
- Tetrahedral modular graph functions
- Low momentum expansion of one loop amplitudes in heterotic string theory
- Identities between modular graph forms
- Modular graph functions
- Notes on motivic periods
- Fermionic one-loop amplitudes of the RNS superstring
- Local integrals for planar scattering amplitudes
- The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
- Non-Abelian Born-Infeld action and Type I-heterotic duality. I: Heterotic \(F^6\) terms at two loops
- Non-Abelian Born-Infeld action and type I-heterotic duality. II: Nonrenormalization theorems
- Evidence for heterotic - type I string duality
- Heterotic - type I superstring duality and low-energy effective actions
- \(D = 10\) supersymmetric Yang-Mills theory at \(\alpha^{\prime 4}\)
- Graphical functions and single-valued multiple polylogarithms
- A new look at one-loop integrals in string theory
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- Protected couplings and BPS dyons in half-maximal supersymmetric string vacua
- Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant
- Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
- Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
- Closed string amplitudes as single-valued open string amplitudes
- Elliptic multiple zeta values and one-loop superstring amplitudes
- On the modular structure of the genus-one type II superstring low energy expansion
- Single-valued integration and superstring amplitudes in genus zero
- NEW METHOD OF MASSIVE N-POINT FEYNMAN DIAGRAMS CALCULATION
- A Feynman integral via higher normal functions
- Poisson equation for the Mercedes diagram in string theory at genus one
- Polylogarithms, multiple zeta values and superstring amplitudes
- Motivic multiple zeta values and superstring amplitudes
- 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
- Relations between elliptic multiple zeta values and a special derivation algebra
- A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
- Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
- 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
This page was built for publication: Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
