### Supersymmetric Lifshitz-like backgrounds from $\mathcal{N}$ = 4 SYM with heavy quark density

Anton F. Faedo, Benjo Fraser, Prem Kumar

Journal of High Energy Physics, Volume: 2014, Issue: 2

Swansea University Author:

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DOI (Published version): 10.1007/JHEP02(2014)066

Abstract

We examine a class of gravity backgrounds obtained by considering the backreaction of a spatially uniform density of mutually BPS Wilson lines or heavy quarks in N = 4 SUSY Yang-Mills theory. The configurations preserve eight supercharges and an SO(5) subgroup of the SO(6) R-symmetry. They are obtai...

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Published in: Journal of High Energy Physics 2014 https://cronfa.swan.ac.uk/Record/cronfa17290 No Tags, Be the first to tag this record!
Abstract: We examine a class of gravity backgrounds obtained by considering the backreaction of a spatially uniform density of mutually BPS Wilson lines or heavy quarks in 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 1 -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 1-BPS solutions on the Coulomb branch of N = 4 SYM exhibiting Lifshitz scaling and hyperscaling violation. For a certain parametric range these yield IR geometries which are conformal to AdS2 × R3, and which have been argued to be relevant for fermionic physics. Faculty of Science and Engineering 2