Baryonic branches and resolutions of Ricci-flat Kahler cones

Abstract

We consider deformations of N=1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds, characterised by non-zero vacuum expectation values for certain baryonic operators. Such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricci-flat Kahler manifolds, together with a choice of point where the stack of D3-branes is placed. The complete solution then describes a renormalisation group flow between two AdS fixed points. We discuss the use of probe Euclidean D3-branes in these backgrounds as a means to compute expectation values of baryonic operators. The Y^{p,q} theories are used as illustrative examples throughout the paper. In particular, we present supergravity solutions describing flows from the Y^{p,q} theories to various different orbifold field theories in the infra-red, and successfully match this to an explicit field theory analysis.

51 pages, v2: reference added and minor changes; v3: minor changes, published version

References in corpus (6)

• Gauge/Gravity Duality and Warped Resolved Conifold
• Explicit Toric Metric on Resolved Calabi-Yau Cone
• Resolutions of Cones over Einstein-Sasaki Spaces
• Baryonic Condensates on the Conifold
• Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
• Symplectic potentials and resolved Ricci-flat ACG metrics

Cited by in corpus (6)

• Symmetry-breaking vacua and baryon condensates in AdS/CFT
• The a-theorem and conformal symmetry breaking in holographic RG flows
• The central charge of supersymmetric AdS_5 solutions of type IIB supergravity
• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• Resolution a la Kronheimer of ${\mathbb{C}}^3/\Gamma$ singularities and the Monge-Ampere equation for Ricci-flat Kaehler metrics in view of D3-brane solutions of supergravity
• Semiclassics of three-dimensional SCFTs from holography