Spontaneous localization of bulk fields: the six-dimensional case
Hyun Min Lee, Hans Peter Nilles, Max Zucker (Bonn University)
TL;DR
This paper investigates how radiatively induced Fayet-Iliopoulos terms cause bulk fields in six-dimensional supersymmetric gauge theories to spontaneously localize near branes, revealing differences from five-dimensional cases in the Kaluza-Klein spectrum.
Contribution
It extends the understanding of spontaneous localization phenomena from five to six dimensions, analyzing the bulk zero modes and their mass spectra in a supersymmetric context.
Findings
Bulk zero modes localize near branes due to FI terms
The mass spectrum of Kaluza-Klein modes differs from the 5D case
Spontaneous localization mechanism is similar but with key differences in spectra
Abstract
We study N=2 supersymmetric gauge theories with bulk and brane fields charged under a U(1) gauge symmetry. Radiatively induced Fayet-Iliopoulos terms lead to an instability of the bulk fields. We compute the profile of the bulk zero modes and observe the phenomenon of spontaneous localization towards the position of the branes. While this mechanism is quite similar to the case, the mass spectrum of the excited Kaluza-Klein modes shows a crucial difference.
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