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ABSTRACT While nova eruptions produce some of the most common and dramatic dust formation episodes among astrophysical transients, the demographics of dust-forming novae remain poorly understood. Here, we present a statistical study of dust formation in 40 novae with high-quality optical/IR light curves, quantitatively distinguishing dust-forming from non-dust-forming novae while exploring the properties of the dust events. We find that 50–70 per cent of novae produce dust, significantly higher than previous estimates. Dust-forming novae can be separated from those that do not show dust formation by using the largest redward ($V-K$) colour change from peak visible brightness; ($V-J$) or ($V-H$) offer useful but less sensitive constraints. This makes optical+IR photometry a powerful tool to quantify dust formation in novae. We find that novae detected in GeV $$\gamma$$-rays by Fermi-LAT appear to form dust more often than novae not detected by Fermi, implying a possible connection between $$\gamma$$-ray-producing shocks and dust production. We also find that novae that evolve very quickly ($$t_2 < 10$$ d) are much less likely to form dust, in agreement with previous findings. We confirm a correlation between $$t_2$$ and the time of the onset of dust formation (which occurs $$\sim$$1 week–3 months after maximum light), but conclude that it is primarily an observational artefact driven by dust formation determining when a nova drops 2 mag below peak. The significant fraction of novae that form dust make them ideal laboratories in our Galactic backyard to tackle the puzzle of dust formation around explosive transients. 

ABSTRACT V745 Sco is a Galactic symbiotic recurrent nova with nova eruptions in 1937, 1989, and 2014. We study the behaviour of V745 Sco at radio wavelengths (0.6–37 GHz), covering both its 1989 and 2014 eruptions and informed by optical, X-ray, and $$\gamma$$-ray data. The radio light curves are synchrotron-dominated. Surprisingly, compared to expectations for synchrotron emission from explosive transients such as radio supernovae, the light curves spanning 0.6–37 GHz all peak around the same time ($$\sim$$18–26 d after eruption) and with similar flux densities (5–9 mJy). We model the synchrotron light curves as interaction of the nova ejecta with the red giant wind, but find that simple spherically symmetric models with wind-like circumstellar material (CSM) cannot explain the radio light curve. Instead, we conclude that the shock suddenly breaks out of a dense CSM absorbing screen around 20 d after eruption, and then expands into a relatively low-density wind ($$\dot{M}_{out} \approx 10^{-9}\!-\!10^{-8}$$ M$$_{\odot }$$ yr$$^{-1}$$ for $$v_w = 10$$ km s$$^{-1}$$) out to $$\sim$$1 yr post-eruption. The dense, close-in CSM may be an equatorial density enhancement or a more spherical red giant wind with $$\dot{M}_{in} \approx [5\!-\!10] \times 10^{-7}$$ M$$_{\odot }$$ yr$$^{-1}$$, truncated beyond several $$\times 10^{14}$$ cm. The outer lower-density CSM would not be visible in typical radio observations of Type Ia supernovae: V745 Sco cannot be ruled out as a Type Ia progenitor based on CSM constraints alone. Complementary constraints from the free–free radio optical depth and the synchrotron luminosity imply the shock is efficient at accelerating relativistic electrons and amplifying magnetic fields, with $$\epsilon _e$$ and $$\epsilon _B \approx 0.01\!-\!0.1$$.