  We develop a microscopic theory for the two-dimensional spectroscopy of
one-dimensional topological superconductors. We consider a ring geometry as a
realization of the Kitaev chain with periodic boundary conditions. We show
numerically and analytically that the cross-peak structure of the 2D spectra
carries unique signatures of the topological phases of the chain. Our work
reveals how 2D spectroscopy can identify topological phases in bulk properties,
bypassing energy-specific differences caused by topologically protected or
trivial boundary modes that are otherwise hard to distinguish.
