The Gaussian mean of $N\times N$ Hermitian matrix provides a knot configuration in the replica limit N to 0 (arXiv:2301.06003). The classical knot is related to Chern-Simons gauge theory, which shows two edges of Seifert surface are bounded, similar to two merons bounded into instanton. Higher dimensional knot (2-knot) consists of double Chern-Simons gauge field, which leads to Regge 6-j symbols tensor model for 3d gravity. We discuss the relation between the intersection numbers of p-spin curves and the quantum knots. The 4 dimensional Chern-Simons N=2 Yang Mills has an instanton, described by Nekrasov integral, which is akin to the replica formula for the intersection theory.
De Elias Kiritsis
De Igor Klebanov
De Xavier Bekaert
De Thomas Mertens
De Razvan Gurau
De Blaise Goutéraux
De Sabine Harribey
De Vincent Rivasseau
De Sanjaye Ramgoolam
De Frank Ferrari
De Grisha Tarnopolsky
De Clifford Johnson
De Claudio Dappiaggi
De Alexander Strohmaier
