Three-dimensional super Yang-Mills with unquenched flavor

Abstract

We construct analytically the gravity duals of three-dimensional, super Yang-Mills-type theories with $\mathcal{N}=1$ supersymmetry coupled to $N_f$ 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 $N_f$ D6-branes on the background of $N$ D2-branes. The D6-branes are smeared over the compact part of the geometry, which must be a six-dimensional nearly Kähler manifold in order to preserve supersymmetry. For massless quarks, the solutions flow in the IR to an $Ad{S}_4$ fixed point dual to a Chern-Simons-matter theory. For light quarks the theories exhibit quasi-conformal dynamics (walking) at energy scales $m_q\ll E\ll \lambda N_f/N$, with $\lambda =g_{\text{YM}}^{2}N$ the 't Hooft coupling.

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

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Cited by in corpus (2)

• Romans-mass-driven flows on the D2-brane
• Three-dimensional super Yang-Mills with compressible quark matter