PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation

Details PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation

2008-07-11

arxiv.org/abs/0807.1828v1

Journal of Physics A: Math. Theor. 41 (2008) 392004

Physics

Mathematical Physics

10 pages

Scientific paper

10.1088/1751-8113/41/39/392004

We discuss several PT-symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT-symmetric deformations of the supersymmetric Korteweg-de Vries equation. Some of these new models are mere fermionic extensions of the former in the sense that they are formulated in terms of superspace valued superfields containing bosonic and fermionic fields, breaking however the supersymmetry invariance. Nonetheless, we also find extensions, which may be viewed as new supersymmetric Korteweg-de Vries equation. Moreover, we show that these deformations allow for a non-Hermitian Hamiltonian formulation and construct three charges associated to the corresponding flow.

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