Warping and vacua of $(S)YM_{3+1}$

Details Warping and vacua of $(S)YM_{3+1}$ Warping and vacua of $(S)YM_{3+1}$

2000-05-17

arxiv.org/abs/hep-th/0005163v3

Phys.Rev. D62 (2000) 086008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 2 figures, LaTeX. A factor in the last term of (67) and some typos are corrected, references added

Scientific paper

10.1103/PhysRevD.62.086008

We use dielectric branes to find non singular string theory duals of a perturbed 2+1 dimensional gauge theory living on D2 branes. By adding fermion masses we obtain theories with reduced supersymmetry. The Higgs vacua of the perturbed theory correspond to polarization of the D2 branes into D4 branes. The confining vacua correspond to polarization of the D2 branes into NS5 branes. We consider different mass perturbations. Adding three equal masses preserves N=2 supersymmetry. In this case there are no confining vacua. By adding a fourth fermion mass we break all the supersymmetry, and find confining vacua. We also obtain duals for domain walls, condensates, baryon vertices, glueballs and flux tubes. We comment on the Kahler potentials for the Higgs and confining phases. In the course of the calculations we also find a nontrivial consistency check of the NS5 brane action in a D2 brane background.

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