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Solid holography and massive gravity
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 17 February 2016

Solid holography and massive gravity

  • Lasma Alberte1,
  • Matteo Baggioli2,3,
  • Andrei Khmelnitsky1 &
  • …
  • Oriol Pujolàs2 

Journal of High Energy Physics volume 2016, Article number: 114 (2016) Cite this article

  • 390 Accesses

  • 92 Citations

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A preprint version of the article is available at arXiv.

Abstract

Momentum 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.

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Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy

    Lasma Alberte & Andrei Khmelnitsky

  2. Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, 08193, Bellaterra (Barcelona), Spain

    Matteo Baggioli & Oriol Pujolàs

  3. Department of Physics, Institute for Condensed Matter Theory, University of Illinois, 1110 W. Green Street, Urbana, IL, 61801, U.S.A.

    Matteo Baggioli

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  1. Lasma Alberte
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  2. Matteo Baggioli
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Correspondence to Lasma Alberte.

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ArXiv ePrint: 1510.09089

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Alberte, L., Baggioli, M., Khmelnitsky, A. et al. Solid holography and massive gravity. J. High Energ. Phys. 2016, 114 (2016). https://doi.org/10.1007/JHEP02(2016)114

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  • Received: 04 December 2015

  • Accepted: 02 February 2016

  • Published: 17 February 2016

  • DOI: https://doi.org/10.1007/JHEP02(2016)114

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Keywords

  • Holography and condensed matter physics (AdS/CMT)
  • Spontaneous Symmetry Breaking
  • Effective field theories
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