【摘 要】
：
The linear (homogeneous and inhomogeneous) (k,N,N-k) supermultiplets of the one-dimensional N-Extended Supersymmetry Algebra induce D-module representations,with a given scaling dimension \lambda,for
【机 构】
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Centro Brasileiro de Pesquisas Fisicas, Brazil)(Contributed talk
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
The linear (homogeneous and inhomogeneous) (k,N,N-k) supermultiplets of the one-dimensional N-Extended Supersymmetry Algebra induce D-module representations,with a given scaling dimension \lambda,for the N=2,4,8 superconformal algebras.For N=4 the exceptional D(2,1|\alpha) superalgebras are recovered for \alpha = (2-k) \lambda.For N=8,the four superconformal algebras are recovered for different ks (with k\neq 4) at critical values of the scaling dimension \lambda.Superconformal mechanics (both single and multiparticle) in a Lagrangian framework is derived from D-module reps with a standard method.The existence of critical values of the scaling dimension implies non-trivial constraints on the admissible superconformal models.This talk is based on JMP 53,043513 (2012) and a work in progress.
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