Chiral rings and anomalies in supersymmetric gauge theory
Nov, 2002
67 pages
Published in:
- JHEP 12 (2002) 071
e-Print:
- hep-th/0211170 [hep-th]
Report number:
- RUNHETC-2002-45
View in:
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Abstract: (arXiv)
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 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.- gauge field theory: U(N)
- supersymmetry: superfield
- superfield: chiral
- anomaly
- perturbation theory: higher-order
- energy
- spontaneous symmetry breaking
- operator: algebra
- matrix model
- condensation: chiral
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