Abstract
Abstract
We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference95 articles.
1. M.B. Green and P. Vanhove, The low-energy expansion of the one loop type-II superstring amplitude, Phys. Rev.
D 61 (2000) 104011 [hep-th/9910056] [INSPIRE].
2. M.B. Green, J.G. Russo and P. Vanhove, Low energy expansion of the four-particle genus-one amplitude in type-II superstring theory, JHEP
02 (2008) 020 [arXiv:0801.0322] [INSPIRE].
3. E. D’Hoker, M.B. Green and P. Vanhove, On the modular structure of the genus-one Type II superstring low energy expansion, JHEP
08 (2015) 041 [arXiv:1502.06698] [INSPIRE].
4. E. D’Hoker, M.B. Green and P. Vanhove, Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus, arXiv:1509.00363 [INSPIRE].
5. A. Basu, Poisson equation for the Mercedes diagram in string theory at genus one, Class. Quant. Grav.
33 (2016) 055005 [arXiv:1511.07455] [INSPIRE].
Cited by
50 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献