This document summarizes the emerging field of research on sustainability transitions. It conducted a literature review of 540 journal articles in this field. Four main conceptual frameworks for studying sustainability transitions were identified: transition management, strategic niche management, the multi-level perspective on socio-technical transitions, and technological innovation systems. The field is growing rapidly, with increasing publications, conferences, and a new journal. However, further conceptual development is needed to broaden and enrich the research agenda. The special section introduces papers that aim to stimulate new concepts and link the field to other scholarly communities to challenge and advance sustainability transition studies.