Skip to main content

Prelude: Entanglement Builds Geometry

  • Chapter
  • First Online:
Holographic Entanglement Entropy

Part of the book series: Lecture Notes in Physics ((LNP,volume 931))

  • 2717 Accesses

Abstract

As we have remarked earlier, it is rather remarkable that an intrinsically quantum concept such as entanglement has a very simple geometric dual. Part of the reason of course is that for planar field theories with c eff ≫ 1, one essentially attains a classical limit. Nevertheless, it is intriguing that there is a close connection between geometric concepts in the bulk and quantum features of the boundary theory. One therefore naturally wonders whether this fact can be leveraged to learn how the holographic map between quantum field theories and gravitational dynamics actually works.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    It is helpful to view this state in terms of a lattice discretization of the field theory.

References

  1. B. Swingle, Entanglement renormalization and holography. Phys. Rev. D86, 065007 (2012). arXiv:0905.1317 [cond-mat.str-el]

    Google Scholar 

  2. M. Van Raamsdonk, Comments on quantum gravity and entanglement (2009). arXiv:0907.2939 [hep-th]

    Google Scholar 

  3. M. Van Raamsdonk, Building up spacetime with quantum entanglement. Gen. Relativ. Gravit. 42, 2323–2329 (2010). arXiv:1005.3035 [hep-th]

    Google Scholar 

  4. L. Susskind, E. Witten, The holographic bound in anti-de Sitter space (1998). arXiv:hep-th/9805114 [hep-th]

    Google Scholar 

  5. M. Miyaji, S. Ryu, T. Takayanagi, X. Wen, Boundary states as holographic duals of trivial spacetimes. J. High Energy Phys. 05, 152 (2015). arXiv:1412.6226 [hep-th]

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Rangamani, M., Takayanagi, T. (2017). Prelude: Entanglement Builds Geometry. In: Holographic Entanglement Entropy. Lecture Notes in Physics, vol 931. Springer, Cham. https://doi.org/10.1007/978-3-319-52573-0_11

Download citation

Publish with us

Policies and ethics