# Holographic RG flows with nematic IR phases

@article{Cremonini2014HolographicRF, title={Holographic RG flows with nematic IR phases}, author={Sera Cremonini and Xi Dong and Junchen Rong and Kai Sun}, journal={Journal of High Energy Physics}, year={2014}, volume={2015}, pages={1-22} }

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 simple holographic model describing two massive gauge fields coupled to gravity and a neutral scalar. Our construction can be used to describe RG flows in non-relativistic, strongly coupled quantum systems with nematic order in the IR. In particular, when the dynamical critical exponent of the UV…

## 4 Citations

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## References

SHOWING 1-10 OF 44 REFERENCES

Holographic Q-lattices

- Physics
- 2014

A bstractWe introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a…

Holography without translational symmetry

- Physics
- 2013

We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a…

On the marginally relevant operator in z = 2 Lifshitz holography

- Physics
- 2013

A bstractWe study holographic renormalization and RG flow in a strongly-coupled Lifshitz-type theory in 2 + 1 dimensions with dynamical exponent z = 2. The bottom-up gravity dual we use is 3 + 1…

Deformations of Lifshitz holography

- Physics
- 2010

The simplest gravity duals for quantum critical theories with z = 2 ‘Lifshitz’ scale invariance admit a marginally relevant deformation. Generic black holes in the bulk describe the field theory with…

Holographic Lifshitz flows and the null energy condition

- Physics
- 2012

We study asymptotically Lifshitz spacetimes and the constraints on flows between Lifshitz fixed points imposed by the null energy condition. In contrast with the relativistic holographic c-theorem,…

Gravity Duals of Lifshitz-Like Fixed Points

- Physics
- 2008

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…

Non-relativistic holography

- Physics
- 2008

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…

The thermoelectric properties of inhomogeneous holographic lattices

- Physics
- 2014

A bstractWe consider inhomogeneous, periodic, holographic lattices of D = 4 Einstein-Maxwell theory. We show that the DC thermoelectric conductivity matrix can be expressed analytically in terms of…

Pomeranchuk Instability in a non-Fermi Liquid from Holography

- Physics
- 2012

The Pomeranchuk instability, in which an isotropic Fermi surface distorts and becomes anisotropic due to strong interactions, is a possible mechanism for the growing number of experimental systems…

Flows involving Lifshitz solutions

- Physics
- 2011

We construct gravity solutions describing renormalization group flows relating relativistic and non-relativistic conformal theories. We work both in a simple phenomenological theory with a massive…