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The nuclear region of the Luminous Infra-red Galaxy Arp 299-A hosts a recent($\simeq 10$ Myr), intense burst of massive star formation which is expected tolead to numerous core-collapse supernovae (CCSNe). Previous VLBI observations,carried out with the EVN at 5.0 GHz and with the VLBA at 2.3 and 8.4 GHz,resulted in the detection of a large number of compact, bright, non-thermalsources in a region $\lsim$150 pc in size. We aim at establishing the nature ofall non-thermal, compact components in Arp 299-A, as well as estimating itscore-collapse supernova rate. We use multi-epoch European VLBI Network (EVN)observations taken at 5.0 GHz to image with milliarcsecond resolution thecompact radio sources in the nuclear region of Arp 299-A. We also use onesingle-epoch 5.0 GHz Multi-Element Radio Linked Interferometer Network (MERLIN)observation to image the extended emission in which the compact radio sources--traced by our EVN observations-- are embedded. Twenty-six compact sources aredetected, 8 of them are new objects not previously detected. The properties ofall detected objects are consistent with them being a mixed population of CCSNeand SNRs. We find clear evidence for at least two new CCSNe, implying a lowerlimit to the CCSN rate of $\nu_{\rm SN}\gsim$0.80 SN/yr indicating that thebulk of the current star formation in Arp 299-A is taking place in theinnermost $\sim 150$ pc. Our MERLIN observations trace a region of diffuse,extended emission which is co-spatial to the region where all compact sourcesare found. From this diffuse, non-thermal radio emission we obtain anindependent estimate for the core-collapse supernova rate, which is in therange $\nu_{\rm SN}=0.40$ - 0.65 SN/yr, roughly in agreement with previousestimates and our direct estimate of the CCSN rate from the compact radioemission.

The nuclear starburst in Arp 299-A: From the 5.0 GHz VLBI radio light-curves to its core-collapse supernova rate