Duality in Supersymmetric SU($N_c$) Gauge Theory with Two Adjoint Chiral Superfields

John Brodie

doi:10.1016/0550-3213(96)00416-6

paper

Duality in Supersymmetric SU( $N_{c}$ ) Gauge Theory with Two Adjoint Chiral Superfields

arXiv:hep-th/9605232 · doi:10.1016/0550-3213(96)00416-6

Abstract

We discuss $S U (N_{c})$ gauge theory coupled to two adjoint chiral superfields $X$ and $Y$ , and a number of fundamental chiral superfields $Q^{i}$ . We add a superpotential that has the form of Arnold's $D$ series $W = \Tr X^{k+1} + \Tr XY^2$. We present a dual description in terms of an $S U (3 k N_{f} - N_{c})$ gauge theory, and we show that the duality passes many tests. At the end of the paper, we show how a deformation of this superpotential flows to another duality having a product gauge group $S U (N_{c}) \times S U (N_{c}^{'})$ , with an adjoint field charged under $S U (N_{c})$ , an adjoint field charged under $S U (N_{c}^{'})$ , fields in the $(N_{c}, N_{c}^{'})$ and $(N_{c}, N_{c}^{'})$ representation, and a number of fundamentals. The dual description is an $S U (2 k N_{f}^{'} + k N_{f} - N_{c}^{'}) \times S U (2 k N_{f} + k N_{f}^{'} - N_{c})$ gauge theory.

21 pages, harvmac, tables

Duality in Supersymmetric SU( $N_{c}$ ) Gauge Theory with Two Adjoint Chiral Superfields

Abstract

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Duality in Supersymmetric SU(Nc​) Gauge Theory with Two Adjoint Chiral Superfields

Abstract

References in corpus (12)

Cited by in corpus (41)

Duality in Supersymmetric SU( $N_{c}$ ) Gauge Theory with Two Adjoint Chiral Superfields