Chiral field theories, Konishi anomalies and matrix models

Details Chiral field theories, Konishi anomalies and matrix models Chiral field theories, Konishi anomalies and matrix models

2003-07-21

arxiv.org/abs/hep-th/0307182v1

JHEP 0402 (2004) 044

Physics

High Energy Physics

High Energy Physics - Theory

43 pages

Scientific paper

10.1088/1126-6708/2004/02/044

We study a chiral N=1, U(N) field theory in the context of the Dijkgraaf-Vafa correspondence. Our model contains one adjoint, one conjugate symmetric and one antisymmetric chiral multiplet, as well as eight fundamentals. We compute the generalized Konishi anomalies and compare the chiral ring relations they induce with the loop equations of the (intrinsically holomorphic) matrix model defined by the tree-level superpotential of the field theory. Surprisingly, we find that the matrix model is well-defined only if the number of flavors equals two! Despite this mismatch, we show that the 1/N expansion of the loop equations agrees with the generalized Konishi constraints. This indicates that the matrix model - gauge theory correspondence should generally be modified when applied to theories with net chirality. We also show that this chiral theory produces the same gaugino superpotential as a nonchiral SO(N) model with a single symmetric multiplet and a polynomial superpotential.

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