nLab holography as Koszul duality

Idea

The suggestion that, at least after suitable topological twisting, AdS/CFT duality becomes the statement that the higher algebras of observables on both sides of the correspondence are Koszul duals of each other.

References

Review:

• Natalie Paquette, Koszul Duality in Field Theory and Holography, 2019 (pdf, pdf)

Precursor on topologically twisted supergravity:

• Kevin Costello, Si Li, Twisted supergravity and its quantization (arXiv:1606.00365, spire:1466640)

For M2-branes:

• Kevin Costello, Holography and Koszul duality: the example of the M2 brane (arXiv:1705.02500, spire:1598491)

For D2-D4 brane bound states:

• Nafiz Ishtiaque, Seyed Faroogh Moosavian, Yehao Zhou, Topological Holography: The Example of The D2-D4 Brane System (arXiv:1809.00372)

For AdS3/CFT2 duality:

• Kevin Costello, Natalie Paquette, Twisted Supergravity and Koszul Duality: A case study in $AdS_3$ (arXiv:2001.02177)

See also claims of topological holography

• Kevin Costello, Davide Gaiotto, Twisted Holography (arXiv:1812.09257)

• Jihwan Oh, Yehao Zhou, Feynman diagrams and $\Omega$-deformed M-theory (arXiv:2002.07343)

Review with emphasis on QFT with defects:

• Natalie Paquette, Brian R. Williams, Koszul duality in quantum field theory (arXiv:2110.10257)

See also:

• Kevin Costello, Natalie Paquette, On the associativity of one-loop corrections to the celestial OPE (arXiv:2204.05301)

• Natalie Paquette, 4d physics from 2d chiral correlators,

  talk at Strings 2022 [slides, video]