BPS spectra of N=2 SO7 and SP4 models

Extending the folding method of ADE Dynkin diagrams of Lie algebras to BPS quivers of 4d N=2 supersymmetric gauge theory with ADE type gauge invariance, we study the BPS spectra for gauge symmetries with non-simply laced Lie algebras. Focussing on the 4d N=2SO7 and SP4 models, we derive the BPS states of the strong chambers of these theories. We find that for both gauge groups Gnsl=SO7 and SP4≃SO(5), the number of BPS states of the strongly coupled chamber is 2dim⁡Gnsl versus 2dim⁡Gsl−2rankGsl for the cousin gauge symmetries Gsl=SO8 and SU4≃SO(6). The relationship between the Gsl and Gnsl types of BPS quiver mutations is derived. Other features are also studied.