Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-12
Phys.Lett. B503 (2001) 413-422
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, LaTeX, references and a note added
Scientific paper
10.1016/S0370-2693(01)00248-9
We investigate the nonlinear realization of partially broken $N$=2 global supersymmetry in the D=2 and 3 anti de-Sitter (AdS) space. We particularly study Nambu-Goldstone degrees of freedom for the $N$=2 AdS supersymmetry partially broken down to $N$=1 AdS supersymmetry, where we observe a NG fermion of the broken supersymmetry and a NG boson of the internal symmetry which form a NG multiplet. Based on the nonlinear realization method, we construct a superspace formalism for 2 and 3 dimensional AdS space and evaluate the covariant derivatives and supervielbeins for the AdS superspace. Finally we obtain the nonlinear transformation laws and the lowest order of effective Lagrangians.
Sano Masayuki
Uematsu Tsuneo
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