  The dynamics of multi-kaon systems are of relevance for several areas of
nuclear physics. However, even the simplest systems, two and three kaons, are
hard to prepare and study experimentally. Here we show how to extract this
information using first-principle lattice QCD results. We (1) extend the
relativistic three-body quantization condition to the strangeness sector,
predicting for the first time the excited level finite-volume spectrum of three
kaon systems at maximal isospin, and (2) present a first lattice QCD
calculation of the excited levels of this system in a finite box. We compare
our predictions with the lattice results reported here and with previous ground
state calculations and find very good agreement.
