Algebraic Aspects of the Supersymmetric Minimal Surface Equation
1
Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succursale Centre-ville, Montréal, QC H3C 3J7, Canada
2
Département de mathématiques et d’informatique, Université du Québec, C.P. 500, Trois-Rivières, QC G9A 5H7, Canada
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(12), 318; https://doi.org/10.3390/sym9120318
Received: 13 November 2017 / Revised: 8 December 2017 / Accepted: 13 December 2017 / Published: 18 December 2017
In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation is determined. A classification of the one-dimensional subalgebras is performed, which results in a list of 143 conjugacy classes with respect to action by the supergroup generated by the Lie superalgebra. The symmetry reduction method is used to obtain invariant solutions of the supersymmetric minimal surface equation. The classical minimal surface equation is also examined and its group-theoretical properties are compared with those of the supersymmetric version.
View Full-Text
Keywords:
supersymmetric models; Lie subalgebras; symmetry reduction; conformally parameterized surfaces
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Grundland, A.M.; Hariton, A. Algebraic Aspects of the Supersymmetric Minimal Surface Equation. Symmetry 2017, 9, 318. https://doi.org/10.3390/sym9120318
AMA Style
Grundland AM, Hariton A. Algebraic Aspects of the Supersymmetric Minimal Surface Equation. Symmetry. 2017; 9(12):318. https://doi.org/10.3390/sym9120318
Chicago/Turabian StyleGrundland, Alfred M.; Hariton, Alexander. 2017. "Algebraic Aspects of the Supersymmetric Minimal Surface Equation" Symmetry 9, no. 12: 318. https://doi.org/10.3390/sym9120318
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
Search more from Scilit