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Constraining the delay-time distribution (DTD) of different supernova (SN)types can shed light on the timescales of galaxy chemical enrichment andfeedback processes affecting galaxy dynamics, and SN progenitor properties.Here, we present an approach to recover SN DTDs based on integral fieldspectroscopy (IFS) of their host galaxies. Using a statistical analysis of asample of 116 supernovae in 102 galaxies, we evaluate different DTD models forSN types Ia (73), II (28) and Ib/c (15). We find the best SN Ia DTD fit to be apower law with an exponent $\alpha = -1.1\pm 0.3$ (50\% confidence interval),and a time delay (between star formation and the first SNe) $\Delta =50^{+100}_{-35}~Myr$ (50\% C.I.). For core collapse (CC) SNe, both of theZapartas et al. (2017) DTD models for single and binary stellar evolution areconsistent with our results. For SNe II and Ib/c, we find a correlation with aGaussian DTD model with $\sigma = 82^{+129}_{-23}~Myr$ and $\sigma =56^{+141}_{-9}~Myr$ (50\% C.I.) respectively. This analysis demonstrates thatintegral field spectroscopy opens a new way of studying SN DTD models in thelocal universe.

The delay time distribution of supernovae from integral-field spectroscopy of nearby galaxies