Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-28
Nucl.Phys.B744:207-220,2006
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, no figures, references added
Scientific paper
10.1016/j.nuclphysb.2006.03.029
In type IIB string theory, we consider fractional D3-branes in the orbifold background dual to four-dimensional N=2 supersymmetric Yang-Mills theory. We find the gravitational dual description of the generation of a non-trivial field theory potential on the Coulomb branch. When the orbifold singularity is softened to the smooth Eguchi-Hanson space, the resulting potential induces spontaneous partial supersymmetry breaking. We study the N=1 theory arising in those vacua and we see how the resolved conifold geometry emerges in this way. It will be natural to identify the size of the blown-up two-cycle of that geometry with the inverse mass of the adjoint chiral scalar. We finally discuss the issue of geometric transition in this context.
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