nLab flat space holography

Idea

What is called flat space holography is a, somewhat more hypothetical, generalization of the holographic principle in the form of the AdS-CFT correspondence, that should be applicable not to bulks that are asymptotically anti de Sitter but to bulks that are asymptotically Minkowskian.

Notice here that the far horizon geometry of all BPS branes is a flat orbifold spacetime (see here) and that “far” is Planck scale for single branes (“cone branes”), hence in the large 1/N limit (opposite to the large N limit in which the AdS-CFT correspondence applies).

In one more well-developed version of flat space holography, scattering amplitudes in asymptotically flat spacetimes are related to conformal field theories on celestial spheres in two dimensions lower – “celestial amplitudes”. This goes back to an observation in de Boer & Solodukhin 2003.

Related concepts

• cone brane

• holographic light front QCD

• Penrose limit

References

General

Early comments:

• Edward Witten, Baryons and Branes in Anti de Sitter Space talk at String98 (1998) [web]

  (by the title, apparently originally intended to touch on AdS-QCD, but de facto ending with focus on the problem of flat space holography)

Dedicayed introduction and survey:

• Daniel Grumiller, Flat Space Holography, 2015 (pdf, pdf)

Activities:

• Janell Rodgers, Flat Holography: April 4 – 8, 2016

Original articles:

• Leonard Susskind, Holography in the flat space limit, AIP Conf.Proc. 493 (1999) 1, 98-112, (spire, arXiv:hep-th/9901079, doi:10.1063/1.1301570)

  (in relation to the BFSS matrix model)

• Jan de Boer, Sergey N. Solodukhin, A holographic reduction of Minkowski space-time, Nucl. Phys. B665 (2003) 545-593 (arXiv:hep-th/0303006)

• David Berenstein, A toy model for the AdS/CFT correspondence, JHEP 0407 (2004) 018 (arXiv:hep-th/0403110)

• R. B. Mann, Flat space holography, Can. J. Phys. 86 (2008) 563-570 (spire:1119742, doi:10.1139/p07-188)

• Arjun Bagchi, Daniel Grumiller, Holograms of Flat Space, International Journal of Modern Physics DVol. 22, No. 12, 1342003 (2013) (doi:10.1142/S0218271813420030)

• Arjun Bagchi, Rudranil Basu, Ashish Kakkar, Aditya Mehra, Flat Holography: Aspects of the dual field theory, JHEP 12(2016)147 (arXiv:1609.06203)

• Reza Fareghbal, Isa Mohammadi, Flat-space holography and correlators of Robinson–Trautman stress tensor, Annals of Physics Volume 411, December 2019, 167960 (doi:10.1016/j.aop.2019.167960)

For JT-gravity/SYK model-duality (i.e. analogous to AdS2/CFT1 duality):

• Hamid Afshar, Hernan Gonzalez, Daniel Grumiller, Dmitri Vassilevich, Flat space holography and complex SYK, Phys. Rev. D 101, 086024 (arXiv:1911.05739, doi:10.1103/PhysRevD.101.086024)

Celestial amplitudes

Introduction and survey:

• Sabrina Pasterski, Lectures on Celestial Amplitudes (arXiv:2108.04801)

Original articles:

• Nima Arkani-Hamed, Monica Pate, Ana-Maria Raclariu, Andrew Strominger, Celestial Amplitudes from UV to IR, JHEP 08 (2021) 062 (arXiv:2012.04208)

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