One-loop Chern-Simons terms in five dimensions

Abstract

We compute one-loop corrections to five-dimensional gauge and gravitational Chern-Simons terms induced by integrating out charged massive fields. The considered massive fields are spin-1/2 and spin-3/2 fermions, as well as complex two-forms with first order kinetic terms. Consistency with six-dimensional gravitational anomalies of (1,0) and (2,0) theories is shown by interpreting the massive fields as excited Kaluza-Klein modes in a circle compactification. The results are in accordance with the geometric predictions of the M-theory to F-theory duality as well as the comparison with an explicit one-loop computation in heterotic string theory compactified on K3 x S^1.

37 pages, 19 figures

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• Exploring 6D origins of 5D supergravities with Chern-Simons terms
• The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
• M-theory on Elliptic Calabi-Yau Threefolds and 6d Anomalies
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach