One-loop Yukawas on Intersecting Branes

TL;DR

This paper computes one-loop Yukawa interactions on intersecting D6 branes, demonstrating non-renormalization in supersymmetric cases and revealing power-law running due to Kaluza-Klein modes, applicable to both supersymmetric and non-supersymmetric scenarios.

Contribution

It provides the first detailed calculation of one-loop Yukawa couplings on intersecting branes, including non-renormalization proofs and power-law running effects.

Findings

Non-renormalization theorem holds in supersymmetric configurations.

Yukawa beta functions can be extracted from the calculations.

Power-law dependence on IR cut-off due to Kaluza-Klein modes is identified.

Abstract

We calculate Yukawa interactions at one-loop on intersecting D6 branes. We demonstrate the non-renormalization theorem in supersymmetric configurations, and show how Yukawa beta functions may be extracted. In addition to the usual logarithmic running, we find the power-law dependence on the infra-red cut-off associated with Kaluza-Klein modes. Our results may also be used to evaluate coupling renormalization in non-supersymmetric cases.