Solid holography and massive gravity

By Lasma Alberte, Matteo Baggioli, A. Khmelnitsky, O. Pujolàs. 2015

133 citations recorded by the source corpus.

A bstractMomentum dissipation is an important ingredient in condensed matter physics that requires a translation breaking sector. In the bottom-up gauge/gravity duality, this implies that the gravity dual is massive. We start here a systematic analysis of holographic massive gravity (HMG) theories, which admit field theory dual interpretations and which, therefore, might store interesting condensed matter applications. We show that there are many phases of HMG that are fully consistent effective field theories and which have been left overlooked in the literature. The most important distinction between the different HMG phases is that they can be clearly separated into solids and fluids. This can be done both at the level of the unbroken spacetime symmetries as well as concerning the elastic properties of the dual materials. We extract the modulus of rigidity of the solid HMG black brane solutions and show how it relates to the graviton mass term. We also consider the implications of the different HMGs on the electric response. We show that the types of response that can be consistently described within this framework is much wider than what is captured by the narrow class of models mostly considered so far.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cff02fedee30d44e987988da42bce8aa9ed82eb5

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In Astronomy and Astrophysics

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Citations in the corpus

Holographic Quantum Matter (2016, background): “Furthermore, as elaborated in [20; 21; 57; 704], this broad class of models – where translations are broken by a linear source that preserves a combination of translations and shift symmetry – is precisely the Stückelburg formulation of a bulk ‘massive gravity’ theory dual to broken translation inva”