Heavy quark density in N=4 SYM: from hedgehog to Lifshitz spacetimes

Abstract

We study the effect of an order N^2 density of heavy quarks in strongly coupled 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 x S^5. The backreacted system exhibits a flow from an AdS_5 "hedgehog" geometry to a scaling Lifshitz-like solution Lif_5 x 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.

20 pages, 2 figures, references added

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Cited by in corpus (12)

• Holographic QCD with Dynamical Flavors
• Non-integrability in non-relativistic theories
• Charged D3-D7 plasmas: novel solutions, extremality and stability issues
• Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes
• Maximal Chaos from Strings, Branes and Schwarzian Action
• (Super)Yang-Mills at Finite Heavy-Quark Density
• Three-dimensional super Yang-Mills with compressible quark matter
• Phase transition of AdS Schwarzschild black hole and gauge theory dual in presence of external string cloud
• AdS black holes with higher derivative corrections in presence of string cloud
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Entropic destruction of heavy quarkonium in heavy quark cloud