All Outputs (6)

Modular graph forms from equivariant iterated Eisenstein integrals (2022)
Journal Article
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., …Verbeek, B. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12), Article 162. https://doi.org/10.1007/jhep12%282022%29162

The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative co... Read More about Modular graph forms from equivariant iterated Eisenstein integrals.

The SAGEX Review on scattering amplitudes (2022)
Journal Article
Travaglini, G., Brandhuber, A., Dorey, P. E., McLoughlin, T. A., Abreu, S., Bern, Z., …White, C. (2022). The SAGEX Review on scattering amplitudes. Journal of Physics A: Mathematical and Theoretical, 55(44), Article 443001. https://doi.org/10.1088/1751-8121/ac8380

This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2... Read More about The SAGEX Review on scattering amplitudes.

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 (2022)
Journal Article
Dorigoni, D., Green, M. B., & Wen, C. (2022). 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. Journal of Physics A: Mathematical and Theoretical, 55(44), Article 443011. https://doi.org/10.1088/1751-8121/ac9263

This article reviews some results of the SAGEX programme that have developed in the understanding of the interplay of supersymmetry and modular covariance of scattering amplitudes in type IIB superstring theory and its holographic image in N=4 supers... Read More about 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.

Exact results for duality-covariant integrated correlators in N=4 SYM with general classical gauge groups (2022)
Journal Article
Dorigoni, D., Green, M. B., & Wen, C. (2022). Exact results for duality-covariant integrated correlators in N=4 SYM with general classical gauge groups. SciPost Physics, 13, Article 092(2022). https://doi.org/10.21468/scipostphys.13.4.092

We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of N = 4 supersymmetric Yang–Mills (SYM) theory with classical gauge group, GN = SO(2N), SO(2N + 1), USp(2N). Thes... Read More about Exact results for duality-covariant integrated correlators in N=4 SYM with general classical gauge groups.

Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms (2022)
Journal Article
Dorigoni, D., Kleinschmidt, A., & Schlotterer, O. (2022). Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms. Journal of High Energy Physics, 2022(1), Article 134. https://doi.org/10.1007/jhep01%282022%29134

We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivative... Read More about Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms.

Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems (2022)
Journal Article
Dorigoni, D., Kleinschmidt, A., & Schlotterer, O. (2022). Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems. Journal of High Energy Physics, 2022, Article 133. https://doi.org/10.1007/jhep01%282022%29133

We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one. The Po... Read More about Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems.