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Heavy quark density in \( \mathcal{N} \) = 4 SYM: from hedgehog to Lifshitz spacetimes

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Abstract

We study the effect of an O(N 2) density of heavy quarks in strongly coupled \( \mathcal{N} \) = 4 SUSY Yang-Mills theory in the large N limit. This is achieved in the type IIB supergravity dual by introducing a uniformly smeared density of macroscopic string sources stretching to the boundary of AdS 5  × S 5. The backreacted system exhibits a flow from an AdS 5 “hedgehog” geometry to a scaling Lifshitz-like solution Lif5  × S 5 with dynamical critical exponent z = 7, wherein the scaling symmetry is broken by a logarithmic running dilaton. We find an exact black brane solution within the scaling regime which describes the low temperature thermodynamics of the system.

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  1. Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K

    S. Prem Kumar

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ArXiv ePrint: 1206.5140

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Kumar, S.P. Heavy quark density in \( \mathcal{N} \) = 4 SYM: from hedgehog to Lifshitz spacetimes. J. High Energ. Phys. 2012, 155 (2012). https://doi.org/10.1007/JHEP08(2012)155

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