Baryonic branches and resolutions of Ricci-flat Kähler cones. (English) Zbl 1246.81285
Summary: We consider deformations of \(\mathcal N= 1\) 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 Kähler 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.
MSC:
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
53C80 | Applications of global differential geometry to the sciences |
83E50 | Supergravity |
References:
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