Outputs (26)

Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory (2024)
Journal Article
Dorigoni, D. (in press). Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory. Physical Review D,

We derive the perturbative expansion of a particular integrated correlator of two superconformal primary operators in the stress tensor multiplet of 𝒩=4 supersymmetric 𝑆⁢𝑈⁡(𝑁) Yang–Mills theory in the presence of a half-BPS ’t Hooft-line defect. The... Read More about Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory.

Electromagnetic duality for line defect correlators in N = 4 super Yang-Mills theory (2024)
Journal Article
Dorigoni, D., Duan, Z., Pavarini, D. R., Wen, C., & Xie, H. (2024). Electromagnetic duality for line defect correlators in N = 4 super Yang-Mills theory. Journal of High Energy Physics, 2024(11), Article 84. https://doi.org/10.1007/jhep11%282024%29084

We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges (p, q) in N = 4 supersymmetric Yang-Mills theory... Read More about Electromagnetic duality for line defect correlators in N = 4 super Yang-Mills theory.

Non-holomorphic modular forms from zeta generators (2024)
Journal Article
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Schlotterer, O., Schneps, L., & Verbeek, B. (2024). Non-holomorphic modular forms from zeta generators. Journal of High Energy Physics, 2024(10), Article 53. https://doi.org/10.1007/jhep10%282024%29053

We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals. A special subclass of them furnishes an equivalent description of the modular graph for... Read More about Non-holomorphic modular forms from zeta generators.

Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity (2024)
Journal Article
Dorigoni, D., & Treilis, R. (2024). Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity. Journal of High Energy Physics, 2024(7), Article 235. https://doi.org/10.1007/jhep07%282024%29235

Exact expressions for certain integrated correlators of four half-BPS operators in N = 4 supersymmetric Yang-Mills theory with gauge group SU(N) have been recently obtained thanks to a beautiful interplay between supersymmetric localisation and modul... Read More about Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity.

Two string theory flavours of generalised Eisenstein series (2023)
Journal Article
Dorigoni, D., & Treilis, R. (2023). Two string theory flavours of generalised Eisenstein series. Journal of High Energy Physics, 2023(11), Article 102. https://doi.org/10.1007/jhep11%282023%29102

Generalised Eisenstein series are non-holomorphic modular invariant functions of a complex variable, τ, subject to a particular inhomogeneous Laplace eigenvalue equation on the hyperbolic upper-half τ-plane. Two infinite classes of such functions ari... Read More about Two string theory flavours of generalised Eisenstein series.

Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory (2023)
Journal Article
Dorigoni, D., & Vallarino, P. (2023). Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(9), Article 203. https://doi.org/10.1007/jhep09%282023%29203

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in N = 4 supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated four-point functions of s... Read More about Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory.

Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory (2023)
Journal Article
Dorigoni, D., Green, M. B., Wen, C., & Xie, H. (2023). Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(4), Article 114. https://doi.org/10.1007/jhep04%282023%29114

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in N
= 4 supersymmetric Yang-Mills theory with a general classical gauge group GN. Here we determine g... Read More about Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory.

Modular graph forms from equivariant iterated Eisenstein integrals (2022)
Journal Article
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., Schlotterer, O., & 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.

To the cusp and back: resurgent analysis for modular graph functions (2022)
Journal Article
Dorigoni, D., Kleinschmidt, A., & Treilis, R. (2022). To the cusp and back: resurgent analysis for modular graph functions. Journal of High Energy Physics, 2022(11), https://doi.org/10.1007/jhep11%282022%29048

Modular graph functions arise in the calculation of the low-energy expansion of closed-string scattering amplitudes. For toroidal world-sheets, they are SL(2, ℤ)-invariant functions of the torus complex structure that have to be integrated over the m... Read More about To the cusp and back: resurgent analysis for modular graph functions.

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.