English

Completing $R^4$ using $O(d,d)$

High Energy Physics - Theory 2022-09-07 v3

Abstract

The tree-level string effective action is known to contain quartic Riemann terms with coefficient ζ(3)α3\zeta(3)\alpha'^3. In the case of the type II string this is the first α\alpha' correction. We use the requirement that the action reduced on a dd-torus should have an O(d,d)O(d,d) symmetry to find the B-field couplings up to fifth order in fields. The answer turns out to have a surprisingly intricate structure.

Keywords

Cite

@article{arxiv.2111.00018,
  title  = {Completing $R^4$ using $O(d,d)$},
  author = {Linus Wulff},
  journal= {arXiv preprint arXiv:2111.00018},
  year   = {2022}
}

Comments

23 pages; v2: Clarifications and details of comparison to literature added; v3: Added argument that condition imposed is also sufficient for O(d,d). Published version

R2 v1 2026-06-24T07:18:23.146Z