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U(1)-supersymmetric extension of the Liouville equation

✍ Scribed by E. A. Ivanov; S. O. Krivonos

Publisher
Springer
Year
1983
Tongue
English
Weight
392 KB
Volume
7
Category
Article
ISSN
0377-9017

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✦ Synopsis

The N = 2 supersymmetric extension of the Liouville equation is presented. We construct for it the zero-curvature representation (on superalgebra osp(2 J2)) together with an associated linear set, find its general solution and discuss the reduction to the N = 1 case. An intrinsic connection of the N = 0, N = 1, and N = 2 Liouville equations with the infinite dimensional contact (super)algebras IK(1), K( 111) and ]K(112) from Kac's list is established.

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