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

Hiroyuki Fuji1 and Yutaka Ookouchi1

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We examine a large N duality via geometric transition for Script N = 1 SO/Sp gauge theories with superpotential for adjoint chiral superfield. In this paper, we find that the large N gauge theories are exactly analyzed for the classical quartic superpotentials by the finite rank SO/Sp gauge theories. With this classical superpotentials, we evaluate the confining phase superpotentials using the Seiberg-Witten theory. In the dual theory, we calculate the superpotential generated by the R-R and NS-NS 3-form fluxes. As the non-trivial examples, we discuss for SO(6), SO(8) and Sp(4) gauge theories. In these cases we have the perfect agreement of the confining phase superpotentials up to the 4th order of the glueball superfields.


Keywords

Duality in Gauge Field Theories

String Duality

PACS

11.30.Ly Other internal and higher symmetries

11.30.Rd Chiral symmetries

11.25.Tq Gauge/string duality

12.40.Nn Regge theory, duality, absorptive/optical models

11.15.-q Gauge field theories

12.39.Mk Glueball and nonstandard multi-quark/gluon states

Subjects

Particle physics and field theory

Dates

Issue 02 (February 2003)

Received 3 January 2003, accepted for publication 17 February 2003

Published 24 February 2003



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