×
Martelli, Dario; Sparks, James

Baryonic branches and resolutions of Ricci-flat Kähler cones. (English) Zbl 1246.81285

J. High Energy Phys. 2008, No. 4, Paper No. 067, 44 p. (2008).
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.

Cited in 19 Documents

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

Keywords:

type IIB string theory; Sasaki-Einstein manifolds
Cite Review PDF
Full Text: DOI arXiv Link

References:

[2] doi:10.1016/S0370-2693(98)00809-0 · doi:10.1016/S0370-2693(98)00809-0
[3] doi:10.1016/S0550-3213(98)00654-3 · Zbl 0948.81619 · doi:10.1016/S0550-3213(98)00654-3
[9] doi:10.1016/j.physletb.2005.06.059 · Zbl 1247.53055 · doi:10.1016/j.physletb.2005.06.059
[10] doi:10.1007/s00220-005-1425-3 · Zbl 1112.53034 · doi:10.1007/s00220-005-1425-3
[16] doi:10.1016/S0550-3213(99)00387-9 · Zbl 0958.81134 · doi:10.1016/S0550-3213(99)00387-9
[18] doi:10.1016/j.nuclphysb.2007.06.018 · Zbl 1150.81018 · doi:10.1016/j.nuclphysb.2007.06.018
[23] doi:10.1103/PhysRevD.63.086006 · doi:10.1103/PhysRevD.63.086006
[27] doi:10.1016/j.physletb.2006.06.021 · Zbl 1248.83144 · doi:10.1016/j.physletb.2006.06.021
[28] doi:10.1016/j.nuclphysb.2007.04.017 · Zbl 1188.53044 · doi:10.1016/j.nuclphysb.2007.04.017
[30] doi:10.1016/0022-1236(82)90007-6 · Zbl 0497.58020 · doi:10.1016/0022-1236(82)90007-6
[34] doi:10.1007/s100520100799 · Zbl 1072.81555 · doi:10.1007/s100520100799
[35] doi:10.1103/PhysRevLett.80.4859 · Zbl 0947.81128 · doi:10.1103/PhysRevLett.80.4859
[38] doi:10.1016/S0370-2693(98)00377-3 · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3
[43] doi:10.1016/j.physletb.2005.06.061 · Zbl 1247.53053 · doi:10.1016/j.physletb.2005.06.061
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.