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.
arXiv comment35 pages, 2 figures, additional comments and references
References in corpus (43)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- AdS/CFT Correspondence and Symmetry Breaking
- Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
- Deforming field theories with global symmetry and their gravity duals
- Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
- Gauge Theories from Toric Geometry and Brane Tilings
- An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
- Supersymmetric AdS_5 solutions of M-theory
- New Einstein-Sasaki Spaces in Five and Higher Dimensions
- Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
- General Kerr-NUT-AdS Metrics in All Dimensions
- Gravity Duals of Fractional Branes and Logarithmic RG Flow
- Toric Sasaki-Einstein metrics on S^2 x S^3
- From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr
- The dual superconformal theory for Lpqr manifolds
- Fractional Branes and Dynamical Supersymmetry Breaking
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Supersymmetry Breaking from a Calabi-Yau Singularity
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- 3-branes on resolved conifold
- Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions
- Supersymmetry breaking at the end of a cascade of Seiberg dualities
- Ricci-flat Metrics, Harmonic Forms and Brane Resolutions
- A note on the holographic interpretation of string theory backgrounds with varying flux
- Gauge/Gravity Duality and Warped Resolved Conifold
- Cascading RG Flows from New Sasaki-Einstein Manifolds
- Hyper-Kahler Calabi Metrics, L^2 Harmonic Forms, Resolved M2-branes, and AdS_4/CFT_3 Correspondence
- Brane Resolution Through Transgression
- Kerr-de Sitter Black Holes with NUT Charges
- 3-branes on spaces with R x S^2 x S^3 topology
- Comments on the non-conformal gauge theories dual to Ypq manifolds
- Explicit Toric Metric on Resolved Calabi-Yau Cone
- Marginal Deformations with U(1)^3 Global Symmetry
- The Gauge/Gravity Theory of Blown up Four Cycles
- Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories
- Resolutions of Cones over Einstein-Sasaki Spaces
- A New Construction of Einstein-Sasaki Metrics in D >= 7
- A new Ricci flat geometry
- S^1-wrapped D3-branes on Conifolds
- Branes in
- Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}
Cited by in corpus (12)
- Baryonic branches and resolutions of Ricci-flat Kahler cones
- On the supersymmetric limit of Kerr-NUT-AdS metrics
- Local metrics admitting a principal Killing-Yano tensor with torsion
- Special Killing forms on toric Sasaki-Einstein manifolds
- M2-branes on a resolved
- 3-Branes on Eguchi-Hanson 6D Instantons
- Gauge Theory RG Flows from a Warped Resolved Orbifold
- Warped Resolved L^{a,b,c} Cones
- Gauge/gravity duality and RG flows in 5d gauge theories
- New non compact Calabi-Yau metrics in D=6
- Constructing Calabi-Yau Metrics From Hyperkahler Spaces
- Complete Calabi-Yau metrics from Kahler metrics in D=4