Topic: analytic continuation

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.

Zofia Adamska develops entanglement measures for subsystems separated in time. These quantities bound temporal correlations, paralleling the relationship between spatial correlations and mutual information. In relativistic field theories the definition agrees with analytic continuation from spacelike to timelike regions. The presentation covers measurement protocols, calculations for the Ising chain and holographic theories, and connections to timelike pseudoentropy.