Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
arXiv:hep-th/0701082 · doi:10.1016/j.nuclphysb.2007.06.018
Abstract
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.
35 pages, 2 figures, additional comments and references
References in corpus (6)
- General Kerr-NUT-AdS Metrics in All Dimensions
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Gauge/Gravity Duality and Warped Resolved Conifold
- Comments on the non-conformal gauge theories dual to Ypq manifolds
- Explicit Toric Metric on Resolved Calabi-Yau Cone
- Resolutions of Cones over Einstein-Sasaki Spaces