Anomalous Currents in SCFT$_4$

Details Anomalous Currents in SCFT$_4$ Anomalous Currents in SCFT$_4$

1996-06-12

arxiv.org/abs/hep-th/9606070v1

Nucl.Phys.Proc.Suppl. 52A (1997) 357-361

Physics

High Energy Physics

High Energy Physics - Theory

harvmac tex, 6 pages, talk given at SUSY96

Scientific paper

10.1016/S0920-5632(96)00592-0

We analyse the critical behaviour of anomalous currents in N=1 four-dimensional supersymmetric gauge theories in the context of electric-magnetic duality. We show that the anomalous dimension of the Konishi superfield is related to the slope of the beta function at the critical point. We construct a duality map for the Konishi current in the minimal SQCD. As a byproduct we compute the slope of the beta function in the strong coupling regime. We note that the OPE of the stress tensor with itself does not close, but mixes with the Konishi operator. As a result in superconformal theories in four dimensions (SCFT$_4$) there are {\sl two} central charges; they allow us to count both the vector multiplet and the matter multiplet effective degrees of freedom. Some applications to N=4 SYM are discussed.

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