Supersymmetric Models with Product Groups and Field Dependent Gauge Couplings

Details Supersymmetric Models with Product Groups and Field Dependent Gauge Couplings Supersymmetric Models with Product Groups and Field Dependent Gauge Couplings

1998-08-14

arxiv.org/abs/hep-th/9808087v3

JHEP 9809:007,1998

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, plain TeX, no figures. (This paper replaces our earlier, withdrawn, paper, hep-th/9712178.) Minor typos corrected

Scientific paper

10.1088/1126-6708/1998/09/007

We study the dilaton-dependence of the effective action for N=1, SU(N1) x SU(N2) models with one generation of vectorlike matter transforming in the fundamental of both groups. We treat in detail the confining and Coulomb phases of these models writing explicit expressions in many cases for the effective superpotential. We can do so for the Wilson superpotentials of the Coulomb phase when N2=2, N1=2,4. In these cases the Coulomb phase involves a single U(1) gauge multiplet, for which we exhibit the gauge coupling in terms of the modulus of an elliptic curve. The SU(4) x SU(2) model reproduces the weak-coupling limits in a nontrivial way. In the confining phase of all of these models, the dilaton superpotential has a runaway form, but in the Coulomb phase the dilaton enjoys flat directions. Had we used the standard moduli-space variables: Tr M^k, k=1,..., N2, with M the quark condensate matrix, to parameterize the flat directions instead of the eigenvalues of M, we would find physically unacceptable behaviour, illustrating the importance to correctly identify the moduli.

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