English

Three-dimensional super Yang-Mills with unquenched flavor

High Energy Physics - Theory 2015-09-09 v2

Abstract

We construct analytically the gravity duals of three-dimensional, super Yang-Mills-type theories with N=1\mathcal N=1 supersymmetry coupled to NfN_f quark flavors. The backreaction of the quarks on the color degrees of freedom is included, and corresponds on the gravity side to the backreaction of NfN_f D6-branes on the background of NN D2-branes. The D6-branes are smeared over the compact part of the geometry, which must be a six-dimensional nearly K\"ahler manifold in order to preserve supersymmetry. For massless quarks, the solutions flow in the IR to an AdS4AdS_4 fixed point dual to a Chern-Simons-matter theory. For light quarks the theories exhibit quasi-conformal dynamics (walking) at energy scales mqEλNf/Nm_q \ll E \ll \lambda N_f / N, with λ=gYM2N\lambda = g_{\text{YM}}^2 N the 't Hooft coupling.

Keywords

Cite

@article{arxiv.1505.00210,
  title  = {Three-dimensional super Yang-Mills with unquenched flavor},
  author = {Anton F. Faedo and David Mateos and Javier Tarrio},
  journal= {arXiv preprint arXiv:1505.00210},
  year   = {2015}
}

Comments

21 pages, 1 figure. v2 Minor editing, refs. added. Tallies with published version