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Holographic axion model: A simple gravitational tool for quantum matter

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Abstract

This is a complete and exhaustive review on the so-called holographic axion model—a bottom-up holographic system characterized by the presence of a set of shift symmetric scalar bulk fields whose profiles are taken to be linear in the spatial coordinates. This simple model implements the breaking of translational invariance of the dual field theory by retaining the homogeneity of the background geometry and therefore allowing for controllable and fast computations. The usages of this model are very vast and they are a proof of the spectacular versatility of the framework. In this review, we touch upon all the up-to-date aspects of this model from its connection with massive gravity and effective field theories, to its role in modeling momentum dissipation and elastic properties ending with all the phenomenological features and its hydrodynamic description. In summary, this is a complete guide to one of the most used models in Applied Holography and a must-read for any researcher entering this field.

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Authors and Affiliations

  1. Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China

    Matteo Baggioli

  2. Shanghai Research Center for Quantum Sciences, Shanghai, 201315, China

    Matteo Baggioli

  3. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, Madrid, 28049, Spain

    Matteo Baggioli

  4. School of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju, 61005, Korea

    Keun-Young Kim

  5. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Li Li

  6. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Li Li

  7. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, 310024, China

    Li Li

  8. Institute of Theoretical Physics, School of Physics, Dalian University of Technology, Dalian, 116024, China

    Wei-Jia Li

Authors
  1. Matteo Baggioli
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  2. Keun-Young Kim
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  3. Li Li
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  4. Wei-Jia Li
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Correspondence to Keun-Young Kim, Li Li or Wei-Jia Li.

Additional information

Matteo Baggioli acknowledges the support of the Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), and of the Spanish MINECO “Centro de Excelencia Severo Ochoa” Program (Grant No. SEV-2012-0249). Keun-Young Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, Information and Communication Technology (ICT) & Future Planning (Grant No. NRF-2017R1A2B4004810), and the Gwangju Institute of Science and Technology (GIST) Research Institute (GRI) grant funded by the GIST in 2020. Li Li is supported in part by the National Natural Science Foundation of China (Grant Nos. 12075298, 11991052, and 12047503). Wei-Jia Li is supported in part by the National Natural Science Foundation of China (Grant No. 11905024), and Dalian University of Technology (Grant No. DUT19LK20). We are grateful to the uncountable number of colleagues which participated with us in the process of understanding all the secrets of the holographic axion model. We thank Teng Ji, Giorgio Frangi, Hyun-Sik Jeong, Xi-Jing Wang and Yongjun An for useful comments and helping proof-reading an early version of this manuscript.

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Baggioli, M., Kim, KY., Li, L. et al. Holographic axion model: A simple gravitational tool for quantum matter. Sci. China Phys. Mech. Astron. 64, 270001 (2021). https://doi.org/10.1007/s11433-021-1681-8

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