Abstract:
Vacuum solution is found and the solutions of Killing equations are obtained which preserve the vacuum metric in the superspace (1,2). Group of motions of this metric includes the supersymmetry group as its subgroup.
Citation:
V. P. Akulov, D. V. Volkov, “Supersymmetric equations in the space (1,2)”, TMF, 42:1 (1980), 16–22; Theoret. and Math. Phys., 42:1 (1980), 10–14
This publication is cited in the following 7 articles:
Diego Julio Cirilo-Lombardo, “Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations”, Found Phys, 39:4 (2009), 373
Diego Julio Cirilo-Lombardo, “The geometrical properties of Riemannian superspaces, exact solutions and the mechanism of localization”, Physics Letters B, 661:2-3 (2008), 186
Diego Julio Cirilo-Lombardo, “Riemannian Superspaces, Exact Solutions and the Geometrical Meaning of the Field Localization”, Int J Theor Phys, 47:11 (2008), 3015
D. J. Cirilo-Lombardo, “The geometrical properties and physical meaning of some particular Riemannian superspaces”, Phys. Part. Nuclei Lett., 5:6 (2008), 494
V.P. Akulov, Oktay Cebecioglu, A. Pashnev, “On the super-conformal quantum mechanics in the nonlinear realizations approach”, Physics Letters B, 562:1-2 (2003), 132
V. P. Akulov, Steven Duplij, Lecture Notes in Physics, 524, Supersymmetries and Quantum Symmetries, 1999, 235
V. P. Akulov, A. I. Pashnev, “Quantum superconformal model in (1,2) space”, Theoret. and Math. Phys., 56:3 (1983), 862–866