Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-30
Phys.Lett. B572 (2003) 91-100
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, no figures, minor changes with two couples of references added and deleted
Scientific paper
10.1016/j.physletb.2003.07.086
We formulate noncommutative self-dual N=4 supersymmetric Yang-Mills theory in D=2+2 dimensions. As in the corresponding commutative case, this theory can serve as the possible master theory of all the noncommutative supersymmetric integrable models in lower dimensions. As a by-product, noncommutative self-dual N=2 supersymmetric Yang-Mills theory is obtained in D=2+2. We also perform a dimensional reduction of the N=2 theory further into N=(2,2) in D=1+1, as a basis for more general future applications. As a typical example, we show how noncommutative integrable matrix N=(1,0) supersymmetric KdV equations in D=1+1 arise from this theory, via the Yang-Mills gauge groups GL(n, R) or SL(2n, R).
Nishino Hitoshi
Rajpoot Subhash
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