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$N = 4$ supersymmetric Yang-Mills multiplet in nonadjoint representations

Department of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840, USA

^*hnishino@csulb.edu
^†rajpoot@csulb.edu

Phys. Rev. D 76, 047703 – Published 13 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.047703

Abstract

We formulate a theory for an $N = 4$ supersymmetric Yang-Mills multiplet in a nonadjoint representation $R$ of $S O (N)$ , 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 a nonadjoint representation in ten dimensions. The consistency with supersymmetry requires that a nonadjoint representation $R$ with the indices $i, j, \dots$ 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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$N = 4$ supersymmetric Yang-Mills multiplet in nonadjoint representations

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N=4 supersymmetric Yang-Mills multiplet in nonadjoint representations

Abstract

Article Text

References (8)

$N = 4$ supersymmetric Yang-Mills multiplet in nonadjoint representations