Chiral Rings and Anomalies in Supersymmetric Gauge Theory View Full Text


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Article Info

DATE

2002-12-24

AUTHORS

Freddy Cachazo, Michael R. Douglas, Nathan Seiberg, Edward Witten

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 = 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. More... »

PAGES

071

References to SciGraph publications

  • 2002-12-20. Comments on Effective Superpotentials via Matrix Models in JOURNAL OF HIGH ENERGY PHYSICS
  • 1994-10. Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1985-11. Functional-integral approach to chiral anomalies in supersymmetric gauge theories in IL NUOVO CIMENTO A (1971-1996)
  • 1978-02. Planar diagrams in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2002/12/071

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    http://dx.doi.org/10.1088/1126-6708/2002/12/071

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