  We have developed an ab-initio-based fully-quantum numerically-accurate
methodology for the simulation of the exciton dynamics and time- and
frequency-resolved fluorescence spectra of the cavity-controlled
two-dimensional materials at finite temperature and applied this methodology to
the single-layer WSe2 system. This allowed us to establish dynamical and
spectroscopic signatures of the polaronic and polaritonic effects as well as
uncover their characteristic timescales in the relevant range of temperatures.
