Goldstone Bosons and Global Strings in a Warped Resolved Conifold

Abstract

A warped resolved conifold background of type IIB theory, constructed in hep-th/0701064, is dual to the supersymmetric $SU(N)\times SU(N)$ gauge theory with a vacuum expectation value (VEV) for one of the bifundamental chiral superfields. This VEV breaks both the superconformal invariance and the baryonic symmetry. The absolute value of the VEV controls the resolution parameter of the conifold. In this paper we study the phase of the VEV, which corresponds to the Goldstone boson of the broken symmetry. We explicitly construct the linearized perturbation of the 4-form R-R potential that contains the Goldstone boson. On general grounds, the theory should contain global strings which create a monodromy of the pseudoscalar Goldstone boson field. We identify these strings with the $D3$-branes wrapping the two-cycle at the tip of the warped resolved conifold.

15 pages, no figures

References in corpus (8)

• Unparticle Physics
• Gauge/Gravity Duality and Warped Resolved Conifold
• Seven-branes and Supersymmetry
• Baryonic branches and resolutions of Ricci-flat Kahler cones
• A Higher Form (of) Mediation
• Baryonic Condensates on the Conifold
• Stringy cosmic strings in matter coupled N=2, d=4 supergravity
• Killing spinors of some supergravity solutions

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• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• String Necklaces and Primordial Black Holes from Type IIB Strings
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• Gauge/gravity duality and RG flows in 5d gauge theories
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