1/2, 1/4 and 1/8 BPS equations in SUSY Yang–Mills–Higgs systems: Field theoretical brane configurations Original Research Article

We systematically classify 1/2, 1/4 and 1/8 BPS equations in SUSY gauge theories in image and 2 with eight supercharges, with gauge groups and matter contents being arbitrary. Instantons (strings) and vortices (3-branes) are only allowed 1/2 BPS solitons in image with image SUSY. We find two 1/4 BPS equations and the unique 1/8 BPS equation in image by considering configurations made of these field theory branes. All known BPS equations are rederived while many new 1/4 and 1/8 BPS equations are found in dimension less than six by dimensional reductions.