On string theory duals of Lifshitz-like fixed points

By T. Azeyanagi, Wei Li, T. Takayanagi. 2009

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We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7 systems and their finite temperature generalizations are straightforward. We show that there exist solutions that interpolate between these anisotropic solutions in the IR and the standard AdS5 solutions in the UV. This predicts anisotropic RG flows from familiar isotropic fixed points to anisotropic ones. In our case, these RG flows are triggered by a non-zero theta-angle in Yang-Mills theories that linearly depends on one of the spatial coordinates. We study the perturbations around these backgrounds and discuss the possibility of instability. We also holographically compute their thermal entropies, viscosities, and entanglement entropies.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/91a95e6601ef2d97a63f0114f4acffad1d9325de

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Citations in the corpus

Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “Note however [19], which uses intersecting D3-D7 branes to construct z = 3 2 Lifshitz spacetimes that are anistropic and in addition have a nontrivial dilaton that breaks this symmetry.”
Thermoelectric DC conductivities from black hole horizons (2014, methodology): “J H E P 1 1 ( 2 0 1 4 ) 0 8 1 temperature Lifshitz solutions which were found in [26].”
Lifshitz scaling and hyperscaling violation in string theory (2012, background): “These Lifshitz spacetimes arise in effective gravity theories with a negative cosmological constant with abelian gauge fields [3, 4], and in various constructions in string theory [5, 6, 7, 8, 9, 10, 11, 12, 13] (see also earlier work [14, 15, 16, 17, 18]).”
Holographic entanglement entropy in Lovelock gravities (2011, result): “Similar results for the entanglement entropy of a slab in a Lifshitz background were obtained in [87].”
Holographic entanglement entropy: an overview (2009, background): “Also the area law of SA [9, 10] can be automatically derived from our holographic description.”
An analytic Lifshitz black hole (2009, background): “[13] found solutions of type IIB supergravity that are dual to Lifshitz-like theories with spatial anisotropy and z = 3/2; these solutions have a scalar field which breaks the scaling symmetry.”
Ground states of holographic superconductors (2009, background): “It was shown in [16] that solutions to type IIB supergravity exist with anisotropic scaling between different spatial dimensions; moreover, such scaling solutions could be obtained as the infrared limit of flows from a suitably deformed AdS5 vacuum.”
Holographic superconductor/insulator transition at zero temperature (2009, methodology): “In the paper [20], this setup has been used to realize the fractional quantum Hall effect by adding D7-branes wrapped on S(5), which is a basic example of topological insulators (see [21] for its back reacted supergravity solution).”
Holography of dyonic dilaton black branes (2010, background): “String embeddings of Lifshitz solutions have been described in [17, 47, 48], and simple generalisations of those ideas may well suffice to capture our geometries as well (since the near-horizon physics is governed by a Lifshitz-like metric).”
Entanglement entropy from a holographic viewpoint (2012, background): “For studies of holographic entanglement entropy for some other gravity duals including non-conformal theories refer to [91, 92, 93, 94, 95, 96, 97].”
Towards strange metallic holography (2009, methodology): “One example of this setup was described in [52], and others with interesting properties are under investigation [53].”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, methodology): “In Appendix B we compare our parametrization of the geometry with the parametrization employed in [73].”
Holography of charged dilaton black holes (2009, background): “Other interesting examples of black hole solutions which asymptote to 4D Lifshitz metrics with various values of the dynamical exponent z have appeared in [32–41].”