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arXiv · 0709.2894

Baryonic branches and resolutions of Ricci-flat Kahler cones

Dario Martelli·James Sparks
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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.

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Dario Martelli, James Sparks. 2008-04-23. Baryonic branches and resolutions of Ricci-flat Kahler cones. https://doi.org/10.1088/1126-6708%2F2008%2F04%2F067

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