The start-up acceleration phenomenon is a recent trend in the field of entrepreneurship, impacting academia, policy makers and practioners, but not yet fully researched or comprehended. The existing literature on business incubators, technology transfer and corporate entrepreneurship provide few cues on how to interpret the acceleration phenomenon, justifying the case for an in-depth analysis on how accelerators (and its accelerated ventures) differentiate from existing initiatives. This work aims to contribute to this discussion by mapping the current research and definitions of the acceleration phenomenon and suggesting a number of potential investigation lines to be deployed in the upcoming years.