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arXiv · 0707.2977

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

Hitoshi Nishino·Subhash Rajpoot
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Abstract

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 η^{i j} = δ^{i j}, (T^I)^{i j} = - (T^I)^{j i} and (T^I)^{[ i j |} (T^I)^{| k ] l} = 0 for the metric η^{i j} and the generators T^I, which are the same as the N=1 case.

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Hitoshi Nishino, Subhash Rajpoot. 2007-07-19. N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations. https://doi.org/10.1103/physrevd.76.047703

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