Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
arXiv:1205.5388 · doi:10.1016/j.nuclphysb.2012.10.008
Abstract
Massless superparticle model is considered on the OSp(4|6)/(SO(1,3) x U(3)) supercoset manifold and in the AdS_4 x CP^3 superspace. In the former case integrability of the equations of motion is rather obvious, while for the AdS_4 x CP^3 superparticle we prove integrability in the partial kappa-symmetry gauge for which 4 anticommuting coordinates related to the broken conformal supersymmetry are set to zero. This allows us to propose expression for the Lax pair that may encode complete equations of motion for the AdS_4 x CP^3 superparticle.
arXiv commentLaTeX, 16 pages. v2: minor improvements in the text, typos corrected, reference added. Version accepted to Nucl. Phys. B
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