Dimensional reduction of the M-theory Chern-Simons term at order ℓ p 6
Year: 2025
Type: article
Abstract: The dimensional reduction of M-theory couplings at order ℓ p 6 is known to produce one-loop α ′ 3 corrections in type IIA string theory. In this paper, we perform the Kaluza-Klein reduction of the M-theory Chern-Simons coupling t 8 ε 11 A R 4 at this order. By meticulously accounting for nongauge-invariant total derivative terms, we derive the complete set of corresponding one-loop, gauge-invariant couplings in the type IIA effective action. Our results not only reproduce the standard Chern-Simons term t 8 ε 10 B R 4 —which is gauge invariant up to total derivatives—but also unveil a new set of gauge-invariant couplings involving Ramond-Ramond and Neveu-Schwarz–Neveu-Schwarz field strengths. To validate our findings, we test their consistency under string dualities. We dimensionally reduce the derived type IIA couplings on a K3 manifold and show that the resulting one-loop α ′ corrections in six dimensions transform under S-duality into the dimensional reduction of the tree-level heterotic string Chern-Simons coupling H μ ν α Ω μ ν α on T 4 . This nontrivial agreement provides strong evidence for the correctness of both the M-theory Chern-Simons term and its reduction to type IIA.
DOI: 10.1103/7wvh-32zx
Author: Mohammad R. Garousi
Institution: Ferdowsi University of Mashhad
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4416685897