English

Baryonic branches and resolutions of Ricci-flat Kahler cones

High Energy Physics - Theory 2009-06-19 v3

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.

Keywords

Cite

@article{arxiv.0709.2894,
  title  = {Baryonic branches and resolutions of Ricci-flat Kahler cones},
  author = {Dario Martelli and James Sparks},
  journal= {arXiv preprint arXiv:0709.2894},
  year   = {2009}
}

Comments

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