We systematically classify 1/2, 1/4 and 1/8 BPS equations in SUSY gauge theories in d = 6, 5, 4, 3 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 d = 6 with N = 1 SUSY. We find two 1/4 BPS equations and the unique 1/8 BPS equation in d = 6 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.
ASJC Scopus subject areas