Confining phase superpotentials for SO/Sp gauge theories via geometric transition | Zendy

Hiroyuki Fuji | Zendy; Yutaka Ookouchi | Zendy

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Confining phase superpotentials for SO/Sp gauge theories via geometric transition

Author(s) -

Hiroyuki Fuji,

Yutaka Ookouchi

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/02/028

Subject(s) - superpotential , glueball , gauge theory , seiberg duality , duality (order theory) , quartic function , physics , phase transition , supersymmetric gauge theory , mathematical physics , theoretical physics , supersymmetry , quantum mechanics , mathematics , gauge anomaly , pure mathematics , quantum chromodynamics

We examine a large N duality via geometric transition for N=1 SO/Sp gaugetheories with superpotential for adjoint chiral superfield. In this paper, wefind that the large N gauge theories are exactly analyzed for the classicalquartic superpotentials by the finite rank SO/Sp gauge theories. With thisclassical superpotentials, we evaluate the confining phase superpotentialsusing the Seiberg-Witten theory. In the dual theory, we calculate thesuperpotential generated by the R-R and NS-NS 3-form fluxes. As the non-trivialexamples, we discuss for SO(6), SO(8) and Sp(4) gauge theories. In these caseswe have the perfect agreement of the confining phase superpotentials up to the4th order of the glueball superfields.Comment: 23 pages, 2 figures, Latex; v3, references added; v4, Explanation for orbifolding was slightly modifie

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