New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
Chiral Rings and Anomalies in Supersymmetric Gauge Theory
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abstract
Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loop equation of a bosonic matrix model. This allows us to solve for the expectation values of the chiral operators as functions of a finite number of ``integration constants.'' From this, we can derive the Dijkgraaf-Vafa relation of the effective superpotential to a matrix model. Some of our results are applicable to more general theories. For example, we determine the classical relations and quantum deformations of the chiral ring of $\N=1$ super Yang-Mills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate.
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New Exotic Operators in the Spectrum of Wilson Lines in General Representations
New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.