We study N = 1 supersymmetric SO(10) gauge theory with a field in the spinorial representation and Nf(≤8) fields in the defining representation. It is shown that this theory for Nf = 7, 8 has a dual description, which is N = 1 supersymmetric SU(Nf − 5) gauge theory. Its matter content for Nf = 7 is different from that for Nf = 8; for Nf = 7, it contains 8 fields in the anti-fundamental representation. For Nf = 8, a rank-2 symmetric tensor and one field in the fundamental representation appears in addition to them. This duality connects along the flat direction to the duality between the chiral and vector gauge theories discovered by Pouliot.
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Teruhiko Kawano (1996) studied this question.