On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models

Details On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models

2003-11-20

arxiv.org/abs/hep-th/0311181v2

Nucl.Phys.B682:45-82,2004

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 1 table, harvmac. v2: minor corrections and references added

Scientific paper

10.1016/j.nuclphysb.2003.12.030

We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and geometric transitions, we clarify when glueball superfields should be included and extremized, or rather set to zero; this issue arises for unbroken group factors of low rank. The string theory results, which are equivalent to those of the matrix model, refer to a particular UV completion of the gauge theory, which could differ from conventional gauge theory results by residual instanton effects. Often, however, these effects exhibit miraculous cancellations, and the string theory or matrix model results end up agreeing with standard gauge theory. In particular, these string theory considerations explain and remove some apparent discrepancies between gauge theories and matrix models in the literature.

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