Submissions from Daniel Bena

[1]  faKiv:2404.08301 [pdf]

A family of $SU(N)$ superconformal global symmetries

Daniel Bena, Angel M. Garcia-Padilla, Akash Satheesh

Comments: 18 pages, 1 figure, v2 references updated

We study a family of $SU(N)$ superconformal global symmetry groups in the context of a $SU(N)$ superconformal field theory. These symmetries are the $SU(N)$ super-Yang-Mills monodromy groups and $SU(N)$ super-Riemann groups. Our work is focused on the three-loop Fourier transform of the standard $SU(N)$ K\"ahler-Petersson theory in $N=3$ superconformal field theories on a $SU(N)$-symmetric $N=2$ lattice. We show that the $SU(N)$ super-Riemann groups in $N=2$ superconformal field theories have a strong coupling to the $SU(N)$ super-Yang-Mills groups. We discuss the implications of the strong coupling on the structure of super-Riemann groups and the supersymmetry.