Corpus ID: 237491812

# DC conductance and memory in 3D gravity

@inproceedings{Cardenas2021DCCA,
title={DC conductance and memory in 3D gravity},
author={Marcela C'ardenas and Hern'an A. Gonz'alez and Kristiansen Lara and Miguel Pino},
year={2021}
}
Transport properties are investigated in the two-dimensional dual dynamics of AdS3 gravity. By providing boundary conditions that deform the Lagrange multipliers, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear… Expand

#### References

SHOWING 1-10 OF 36 REFERENCES
Edge‐State Transport
• Physics
• 2007
The most striking feature of the quantum Hall effect is the remarkably precise quantization of the Hall conductance. It was in 1980 that von Klitzing observed unanticipated plateaus in the HallExpand
The anisotropic chiral boson
• Physics, Mathematics
• Journal of High Energy Physics
• 2019
Abstract We construct the theory of a chiral boson with anisotropic scaling, characterized by a dynamical exponent z that takes positive odd integer values. The action reduces to that ofExpand
Integrable Systems and Spacetime Dynamics.
• Medicine, Physics
• Physical review letters
• 2021
It is shown that the Ablowitz-Kaup-Newell-Segur (AKNS) integrable hierarchy can be obtained as the dynamical equations of three-dimensional general relativity with a negative cosmological constant.Expand
Integrable systems and the boundary dynamics of higher spin gravity on AdS3
• Physics
• 2020
We introduce a new set of boundary conditions for three-dimensional higher spin gravity with gauge group $SL(3,\mathbb{R})\times SL(3,\mathbb{R})$, where its dynamics at the boundary is described byExpand
Asymptotic dynamics of AdS3 gravity with two asymptotic regions
• Physics
• 2019
The asymptotic dynamics of AdS$_3$ gravity with two asymptotically anti-de Sitter regions is investigated, paying due attention to the zero modes, i.e., holonomies along non-contractible circles andExpand
Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Physics
• Journal of High Energy Physics
• 2019
Abstract We present a new set of boundary conditions for General Relativity on AdS3, where the dynamics of the boundary degrees of freedom are described by two independent left and right membersExpand
Near horizon dynamics of three dimensional black holes
• Physics
• 2019
We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to aExpand
Black hole memory effect
• Physics
• Physical Review D
• 2018
We compute the memory effect produced at the black hole horizon by a transient gravitational shockwave. As shown by Hawking, Perry, and Strominger (HPS) such a gravitational wave produces aExpand
Quantum Hall physics : Hierarchies and conformal field theory techniques
• Physics
• 2017
The fractional quantum Hall effect, being one of the most studied phenomena in condensed matter physics during the past 30 years, has generated many ground-breaking new ideas and concepts. Very earExpand
Soft hairy horizons in three spacetime dimensions
• Physics
• 2017
We discuss some aspects of soft hairy black holes and a new kind of "soft hairy cosmologies", including a detailed derivation of the metric formulation, results on flat space, and novel observationsExpand