N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations

Details N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations

2007-07-19

arxiv.org/abs/0707.2977v1

Phys.Rev.D76:047703,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.047703

We formulate a theory for N=4 supersymmetric Yang-Mills multiplet in a non-adjoint representation R of SO(N) as an important application of our recently-proposed model for N=1 supersymmetry. This system is obtained by dimensional reduction from an N=1 supersymmetric Yang-Mills multiplet in non-adjoint representation in ten dimensions. The consistency with supersymmetry requires that the non-adjoint representation R with the indices i, j, ... satisfy the three conditions \eta^{i j} = \delta^{i j}, (T^I)^{i j} = - (T^I)^{j i} and (T^I)^{[ i j |} (T^I)^{| k ] l} = 0 for the metric \eta^{i j} and the generators T^I, which are the same as the N=1 case.

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