English

The closed-string 3-loop amplitude and S-duality

High Energy Physics - Theory 2015-06-17 v3

Abstract

The low-energy limit of the four-point 3-loop amplitude (including its overall coefficient) is computed in both type IIA and IIB superstring theories using the pure spinor formalism. The result is shown to agree with the prediction of the coefficient for the type IIB D6R4D^6 R^4 interaction made by Green and Vanhove based on S-duality considerations.

Keywords

Cite

@article{arxiv.1308.6567,
  title  = {The closed-string 3-loop amplitude and S-duality},
  author = {Humberto Gomez and Carlos R. Mafra},
  journal= {arXiv preprint arXiv:1308.6567},
  year   = {2015}
}

Comments

26 pages, harvmac. v3: factor of 3 in section 3.3 corrected, updated abstract and dropped Z_3-symmetry argument

R2 v1 2026-06-22T01:17:33.890Z