Abstract
We construct analytically the gravity duals of three-dimensional, super Yang– Mills-type theories with N = 1 supersymmetry coupled to Nf 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 Nf D6-branes on the background of N D2-branes. The D6-branes are smeared over the compact part of the geome
Highlights
Matter theory in the case of massless quarks or of ‘walking’ dynamics in the case of light quarks
We construct analytically the gravity duals of three-dimensional, super Yang– Mills-type theories with N = 1 supersymmetry coupled to Nf quark flavors
The D6-branes are smeared over the compact part of the geometry, which must be a sixdimensional nearly Kahler manifold in order to preserve supersymmetry
Summary
Since three-dimensional SYM-type theories are asymptotically free, in the UV a perturbative description is possible. In the context of flux compactifications, the most suitable language to analyze the backgrounds is that of G-structures This leads us to another way of characterizing NK geometries, i.e. as six-dimensional manifolds admitting an SU(3) structure with only W1 non-vanishing among the torsion classes in the codification of [22]. Less attention has been paid to NK manifolds in the context of the gauge/string duality, despite the early observation in [2] that they emerge as the transverse space to D2-branes preserving N = 1 supersymmetry and generalizing S6 In this respect, a parallel can be traced with D3-branes in type IIB supergravity and Sasaki-Einstein (SE). For more details about these cosets we refer the reader to [18]
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