Noncommutative/Nonlinear BPS Equations without Zero Slope Limit

Details Noncommutative/Nonlinear BPS Equations without Zero Slope Limit Noncommutative/Nonlinear BPS Equations without Zero Slope Limit

2000-06-08

arxiv.org/abs/hep-th/0006056v3

JHEP 0008 (2000) 014

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, no figures, v2: discussion on the string tension removed, v3: minor modifications

Scientific paper

10.1088/1126-6708/2000/08/014

It is widely believed that via the Seiberg-Witten map, the linearly realized BPS equation in the non-commutative space is related to the non-linearly realized BPS equation in the commutative space in the zero slope limit. We show that the relation also holds without taking the zero slope limit as is expected from the arguments of the BPS equation for the non-Abelian Born-Infeld theory. This is regarded as an evidence for the relation between the two BPS equations. As a byproduct of our analysis, the non-linear instanton equation is solved exactly.

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