On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Mathematical Physics
2015-06-18 v4 math.MP
Abstract
The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A detailed analysis of the symmetry properties of both the classical and supersymmetric versions of the Gauss-Weingarten equations is performed. A supersymmetric generalization of the conjecture establishing the necessary conditions for a system to be integrable in the sense of soliton theory is formulated and illustrated by the examples of supersymmetric versions of the sine-Gordon equation and the Gauss-Codazzi equations.
Keywords
Cite
@article{arxiv.1502.02948,
title = {On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces},
author = {Sébastien Bertrand and Alfred M. Grundland and Alexander J. Hariton},
journal= {arXiv preprint arXiv:1502.02948},
year = {2015}
}