Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories

Details Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories

2007-01-09

arxiv.org/abs/hep-th/0701082v2

Nucl.Phys.B785:74-97,2007

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 2 figures, additional comments and references

Scientific paper

10.1016/j.nuclphysb.2007.06.018

We discuss D3-branes on cohomogeneity-three resolved Calabi-Yau cones over L^{abc} spaces, for which a 2-cycle or 4-cycle has been blown up. In terms of the dual quiver gauge theory, this corresponds to motion along the non-mesonic, or baryonic, directions in the moduli space of vacua. In particular, a dimension-two and/or dimension-six scalar operator gets a vacuum expectation value. These resolved cones support various harmonic (2,1)-forms which reduce the ranks of some of the gauge groups either by a Seiberg duality cascade or by Higgsing. We also discuss higher-dimensional resolved Calabi-Yau cones. In particular, we obtain square-integrable (2,2)-forms for eight-dimensional cohomogeneity-four Calabi-Yau metrics.

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