Before revision:  Inspired by the empirical findings, we introduce a new class of continuous-time stochastic volatility models, capable of decoupling roughness (short-term behavior) from long memoryand persistence (long-term behavior) in a simple and parsimonious way, which allows us to successfully model volatility at all intraday time scales .
After revision:  Inspired by the empirical findings, we introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized facts often found in volatility data .