Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
arXiv:1310.0206 · doi: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 obtained by considering the 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 AdS_5 x S^5 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 1/4-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 AdS_2 x R^3, and which have been argued to be relevant for fermionic physics.
24 pages, 2 figures, references added, version published in JHEP, Feb. 2014
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- Three-dimensional super Yang-Mills with compressible quark matter
- Interpolating solution from AdS to hyperscaling violating Lifshitz space-time
- The investigation of quark - antiquark potential in plasma with hyperscaling violation background
- Emergent Lifshitz scaling from N=4 SYM with supersymmetric heavy-quark density