Duality of N=1 Supersymmetric SO(10) Gauge Theory with Matter in the Spinorial Representation

Details Duality of N=1 Supersymmetric SO(10) Gauge Theory with Matter in the Spinorial Representation Duality of N=1 Supersymmetric SO(10) Gauge Theory with Matter in the Spinorial Representation

1996-02-07

arxiv.org/abs/hep-th/9602035v1

Prog.Theor.Phys. 95 (1996) 963-968

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, harvmac

Scientific paper

10.1143/PTP.95.963

We study $N=1$ supersymmetric $SO(10)$ gauge theory with a field in the spinorial representaition and $N_f$ ($\leq8$) fields in the defining representation. It is shown that this theory for $N_f=7,8$ has a dual description, which is $N=1$ supersymmetric $SU(N_f-5)$ gauge theory. Its matter content for $N_f=7$ is different {}from the one for $N_f=8$; for $N_f=7$, it contains $8$ fields in the anti-fundamental representation. For $N_f=8$, 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 chiral and vector gauge theory found by Pouliot.

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