Abstract
We examine a class of gravity backgrounds obtained by considering the back-reaction of a spatially uniform density of mutually BPS Wilson lines or heavy quarks in \( \mathcal{N} \) = 4 SUSY Yang-Mills theory. The configurations preserve eight supercharges and an SO(5) subgroup of the SO(6) R-symmetry. They are obtained by considering the \( \frac{1}{4} \)-BPS geometries associated to smeared string/D3-brane (F1-D3) intersections. We argue that for the (partially) localized intersection, the geometry exhibits a flow from AdS5 × S5 in the UV to a novel IR scaling solution displaying anisotropic Lifshitz-like scaling with dynamical critical exponent z = 7, hyperscaling violation and a logarithmic running dilaton. We also obtain a two-parameter family of smeared \( \frac{1}{4} \)-BPS solutions on the Coulomb branch of \( \mathcal{N} \) = 4 SYM exhibiting Lifshitz scaling and hyperscaling violation. For a certain parametric range these yield IR geometries which are conformal to AdS2 × \( \mathbb{R} \) 3, and which have been argued to be relevant for fermionic physics.
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Faedo, A.F., Fraser, B. & Kumar, S.P. Supersymmetric Lifshitz-like backgrounds from \( \mathcal{N} \) = 4 SYM with heavy quark density. J. High Energ. Phys. 2014, 66 (2014). https://doi.org/10.1007/JHEP02(2014)066
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DOI: https://doi.org/10.1007/JHEP02(2014)066