Radiation Processes in GRBs. Prompt Emission
  A substantial fraction of prompt GRB spectra have soft spectral indexes exceeding the maximum allowed by the synchrotron model alpha_{max}=-2/3. Some spectra also exhibit very sharp break at E_p, inconsistent with the smooth synchrotron spectra. These facts pose a serious problem for the ``optically thin synchrotron'' interpretation of the prompt emission. We review various models suggested in order to resolve this puzzle. 
Mikhail V. Medvedev (KU)