Glueball Superfield and Argyres Douglas Points

Details Glueball Superfield and Argyres Douglas Points Glueball Superfield and Argyres Douglas Points

2003-09-09

arxiv.org/abs/hep-th/0309097v4

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figure

Scientific paper

In this paper, by using the factorization equation of the ${\cal N}=2$ theory we study ${\cal N}=1$ supersymmetric SO(N) gauge theory in Argyres-Douglas points . We suppose that maximal confinement occurs in the system and give a tree level superpotential. Then, we obtain general Picard-fuchs equations for glueball superfield which are hypergeometric equations having regular singular points corresponding to Argyres-Douglas points. Furthermore, we study the solution of these differential equations and calculate the effective superpotential. Finally, we study scaling behavior of the chiral operators and coupling constant around the AD points.

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