• Corpus ID: 118838152

Spatial Anisotropy in Nonrelativistic Holography

@article{Foster2016SpatialAI,
  title={Spatial Anisotropy in Nonrelativistic Holography},
  author={Joshua W. Foster and James T. Liu},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
We examine holographic theories where Lifshitz symmetry is broken with spatial anisotropy. In particular, we focus on the conditions imposed by the null energy condition, and demonstrate that it is possible to have unusual anisotropic fixed points where a subset of the spatial dimensions have negative scaling exponents. We also construct interpolating solutions between UV and IR fixed points and show that there is essentially no restriction placed on the endpoints of the flow once anisotropic… 
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References

SHOWING 1-10 OF 30 REFERENCES
Non-relativistic holography
We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the
Holography for anisotropic branes with hyperscaling violation
A bstractIn this paper, based on the principles of Gauge/gavity duality, we explore the field theory description of certain special class of strongly coupled hyperscaling violating QFTs in the
Holographic RG flows with nematic IR phases
A bstractWe construct zero-temperature geometries that interpolate between a Lifshitz fixed point in the UV and an IR phase that breaks spatial rotations but preserves translations. We work with a
Spectral weight in holographic scaling geometries
A bstractWe compute the low energy spectral density of transverse currents in theories with holographic duals that exhibit an emergent scaling symmetry characterized by dynamical critical exponent z
Hidden horizons in non-relativistic AdS/CFT
A bstractWe study boundary Green’s functions for spacetimes with non-relativistic scaling symmetry. For this class of backgrounds, scalar modes with large transverse momentum, or equivalently low
Seeing a c-theorem with holography
Using the anti-de Sitter conformal theory correspondence, we examine holographic renormalization group flows in a framework where the bulk gravity contains higher curvature interactions. This
Gravity Duals of Lifshitz-Like Fixed Points
We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation
Anisotropic plasmas from axion and dilaton deformations
A bstractWe construct black hole solutions of type IIB supergravity that are holographically dual to anisotropic plasmas arising from deformations of an infinite class of four-dimensional CFTs. The
Semi-holographic Fermi liquids
We show that the universal physics of recent holographic non-Fermi liquid models is captured by a semi-holographic description, in which a dynamical boundary field is coupled to a strongly coupled
Gravity duals for non-relativistic CFTs
We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity,
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