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arXiv · 1607.07773

Unquenched flavor on the Higgs branch

Anton F. Faedo·David Mateos·Christiana Pantelidou·Javier Tarrio
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Abstract

We construct the gravity duals of the Higgs branches of three-dimensional (four-dimensional) super Yang-Mills theories coupled to $N_\textrm{f}$ quark flavors. The effect of the quarks on the color degrees of freedom is included, and corresponds on the gravity side to the backreaction of $N_\textrm{f}$ flavor D6-branes (D7-branes) on the background of $N_\textrm{c}$ color D2-branes (D3-branes). The Higgsing of the gauge group arises from the dissolution of some color branes inside the flavor branes. The dissolved color branes are represented by non-Abelian instantons whose backreaction is also included. The result is a cascading-like solution in which the effective number of color branes varies along the holographic direction. In the three-dimensional case the solution may include an arbitrary number of quasi-conformal (walking) regions.

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Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio. 2016-07-26. Unquenched flavor on the Higgs branch. https://doi.org/10.1007/jhep11(2016)021

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