Remarks on the analytic structure of supersymmetric effective actions

Details Remarks on the analytic structure of supersymmetric effective actions Remarks on the analytic structure of supersymmetric effective actions

2005-08-30

arxiv.org/abs/hep-th/0508234v2

JHEP 0512:026,2005

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 3 figures, harvmac; typos corrected

Scientific paper

10.1088/1126-6708/2005/12/026

We study the effective superpotential of N=1 supersymmetric gauge theories with a mass gap, whose analytic properties are encoded in an algebraic curve. We propose that the degree of the curve equals the number of semiclassical branches of the gauge theory. This is true for supersymmetric QCD with one adjoint and polynomial superpotential, where the two sheets of its hyperelliptic curve correspond to the gauge theory pseudoconfining and higgs branches. We verify this proposal in the new case of supersymmetric QCD with two adjoints and superpotential V(X)+XY^2, which is the confining phase deformation of the D_{n+2} SCFT. This theory has three kinds of classical vacua and its curve is cubic. Each of the three sheets of the curve corresponds to one of the three semiclassical branches of the gauge theory. We show that one can continuously interpolate between these branches by varying the couplings along the moduli space.

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