nLab microscopic AdS-CFT via p-brane sigma-models -- references

Microscopic AdS/CFT via $p$-brane sigma-models

Over a decade before the modern formulation of the AdS-CFT correspondence, a candicate “microscopic” explanation was observed:

Immersing the worldvolume of a sigma-model super $p$-brane (hence a “light” brane without backreaction) along the near horizon geometry (an AdS supergravity solution) of its own black brane incarnation (hence the “heavy” incarnation of the same brane, causing backreaction), its worldvolume fluctuations (after super-diffeomorphism gauge fixing) are described by the corresponding superconformal field theory (exhibited by superconformal multiplets such as “supersingletons”).

The original observation for the M2-brane:

• Eric Bergshoeff, Michael Duff, Christopher Pope, Ergin Sezgin: Supersymmetric Supermembrane Vacua and Singletons, Phys. Lett. B 199 (1987) 69-74 [doi:10.1016/0370-2693(87)91465-1, InSpire:250244]

• Miles P. Blencowe, Mike Duff, Supersingletons, Physics letters B, 203 3 (1988) 229-236 [doi:10.1016/0370-2693(88)90544-8, cds:184143]

• Gianguido Dall'Agata, Davide Fabbri, Christophe Fraser, Pietro Fré, Piet Termonia, Mario Trigiante, The $Osp(8|4)$ singleton action from the supermembrane, Nucl. Phys. B 542 (1999) 157-194 [doi:10.1016/S0550-3213(98)00765-2, arXiv:hep-th/9807115]

with popular exposition in:

• Mike Duff, Christine Sutton: The Membrane at the End of the Universe, New Scientist 118 (1988) 67-71 [inspire:268230, ISSN:0028-6664]

Further discussion including also M5-branes and D-branes:

• Piet Claus, Renata Kallosh, Antoine Van Proeyen, M 5-brane and superconformal $(0,2)$ tensor multiplet in 6 dimensions, Nucl. Phys. B 518 (1998) 117-150 [doi:10.1016/S0550-3213(98)00137-0, arXiv:hep-th/9711161]

• Piet Claus, Renata Kallosh, J. Kumar, Paul K. Townsend, Antoine Van Proeyen, Conformal Theory of M2, D3, M5 and “D1+D5” Branes, JHEP 9806 (1998) 004 [doi:10.1088/1126-6708/1998/06/004, arXiv:hep-th/9801206]

• Paolo Pasti, Dmitri Sorokin, Mario Tonin, Branes in Super-AdS Backgrounds and Superconformal Theories, Proceedings, International Workshop on Supersymmetries and Quantum Symmetries (SQS’99), Moscow (July 27-31, 1999) [arXiv:hep-th/9912076, inspire:511348]

• C. Grojean, J. Mourad, Super fivebranes near the boundary of $AdS_7 \times S^4$, Nuclear Physics B 567 1–2 (2000) 133-150 [doi:10.1016/S0550-3213(99)00335-1, arXiv:hep-th/9903164]

• Alexei Nurmagambetov, I. Y. Park On the M5 and the $\mathrm{AdS}_7/CFT_6$ correspondence, Physics Letters B

  524 1–2 (2002) 185-191 [doi:10.1016/S0370-2693(01)01375-2, arXiv:hep-th/0110192]

Review:

• Mike Duff, Anti-de Sitter space, branes, singletons, superconformal field theories and all that, Int. J. Mod. Phys. A 14 (1999) 815-844 [doi:10.1142/S0217751X99000403, arXiv:hep-th/9808100]

• Mike Duff, TASI Lectures on Branes, Black Holes and Anti-de Sitter Space, lectures at 9th CRM Summer School: Theoretical Physics at the End of the 20th Century at TASI 99 (1999) [arXiv:hep-th/9912164, inspire:511822]

The resulting super-conformal brane scan:

• Michael Duff, Near-horizon brane-scan revived, Nucl. Phys. B 810 (2009) 193-209 [doi:10.1016/j.nuclphysb.2008.11.001, arXiv:0804.3675]

• Michael Duff, The conformal brane-scan: an update, J. High Energ. Phys. 2022 54 (2022) [doi:10.1007/JHEP06(2022)054, arXiv:2112.13784]

Related:

• Hironori Mori, Satoshi Yamaguchi, §3 in: M5-branes and Wilson Surfaces in AdS7/CFT6 Correspondence, Phys. Rev. D 90 (2014) 026005 [doi:10.1103/PhysRevD.90.026005, arXiv:1404.0930]

Analogous discussion for embeddings with less supersymmetry, corresponding to defects

• Nadav Drukker, Simone Giombi, Arkady A. Tseytlin, Xinan Zhou, Defect CFT in the 6d $(2,0)$ theory from M2 brane dynamics in $AdS_7 \times S^4$, J. High Energ. Phys. 2020 101 (2020) [doi:10.1007/JHEP07(2020)101, arXiv:2004.04562]

• Varun Gupta, Holographic M5 branes in $\mathrm{AdS}_7 \times S^4$, J. High Energ. Phys. 2021 32 (2021) [doi:10.1007/JHEP12(2021)032, arXiv:2109.08551]

• Varun Gupta, More Holographic M5 branes in $\mathrm{AdS}_7 \times S^4$, Phys. Lett. B 853 (2024) 138650 [doi:10.1016/j.physletb.2024.138650, arXiv:2301.02528]