Abstract
We show that the N = 1 supersymmetric Kadomtsev-Petviashvili (SKP) equation of Manin and Radul can be embedded into recently formulated N = 1 self-dual supersymmetric Yang-Mills theories after appropriate dimensional reduction and truncation, which yield three-dimensional supersymmetric Chern-Simons theories. Based on this result, we also give a conjectural N = 2 SKP equation. Subsequently some exact solutions of these systems including fermionic fields are given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
