SELF-DUALITY AND THE SUPERSYMMETRIC KdV HIERARCHY
1993 ◽
Vol 08
(15)
◽
pp. 1399-1406
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Keyword(s):
We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimensions associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of SUSY KdV equations as well as the s-KdV equations from such a condition. We formulate the SUSY KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimensions can also lead to these equations.
2015 ◽
Vol 27
(04)
◽
pp. 1550011
◽
1992 ◽
Vol 07
(18)
◽
pp. 4293-4311
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Keyword(s):
2008 ◽
Vol 05
(01)
◽
pp. 1-16
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Keyword(s):
1994 ◽
Vol 09
(14)
◽
pp. 1267-1272
◽
1990 ◽
Vol 05
(18)
◽
pp. 1389-1398
◽
Keyword(s):
1992 ◽
Vol 07
(23)
◽
pp. 2077-2085
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Keyword(s):