Goldstone Bosons and Global Strings in a Warped Resolved Conifold

Details Goldstone Bosons and Global Strings in a Warped Resolved Conifold Goldstone Bosons and Global Strings in a Warped Resolved Conifold

2007-12-13

arxiv.org/abs/0712.2224v2

JHEP 0805:090,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures

Scientific paper

10.1088/1126-6708/2008/05/090

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.

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