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Mesons and Higgs branch in defect theories

Daniel Arean·Alfonso V. Ramallo·Diego Rodriguez-Gomez
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Abstract

We consider the defect theory obtained by intersecting D3- and D5-branes along two common spatial directions. We work in the approximation in which the D5-brane is a probe in the AdS_5xS^5 background. By adding worldvolume flux to the D5-brane and choosing an appropriate embedding of the probe in AdS_5xS^5, one gets a supersymmetric configuration in which some of the D3-branes recombine with the D5-brane. We check this fact by showing that the D5-brane can be regarded as a system of polarized D3-branes. On the field theory side this corresponds to the Higgs branch of the defect theory, where some of the fundamental hypermultiplet fields living on the intersection acquire a vacuum expectation value. We study the spectrum of mesonic bound states of the defect theory in this Higgs branch and show that it is continuous and gapless.

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Daniel Arean, Alfonso V. Ramallo, Diego Rodriguez-Gomez. 2006-09-01. Mesons and Higgs branch in defect theories. https://doi.org/10.1016/j.physletb.2006.09.010

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