### Chiral Rings and Anomalies in Supersymmetric Gauge TheoryChiral Rings and Anomalies in Supersymmetric Gauge Theory

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 Author Cachazo, Freddy ♦ Douglas, Michael R. ♦ Seiberg, Nathan ♦ Witten, Edward Source arXiv.org Content type Text File Format PDF Date of Submission 2002-11-18 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th 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. Description Reference: JHEP 0212:071,2002 Educational Use Research Learning Resource Type Article Page Count 67