Fortuity in ABJM theory

Some protected operators exist only at particular gauge-group ranks, a phenomenon connected conjecturally to black-hole microstates. This talk studies such fortuitous operators in ABJM theory at large Chern–Simons level. Harmonic representatives make the operators explicit, while analytic continuation of the two-loop Hamiltonian tracks them from finite rank toward the large-rank limit. Selected operator-product coefficients complement the trajectory analysis.