The UPLIFT project aims to understand the underlying processes of the reproduction of urban social inequalities and the responses given in this situation in terms of possible public policy interventions to the inequality trap. This report sums up key social science concepts, theories and debates related to inequality. Successful intervention depends on understanding the drivers of inequalities and their dependencies. The role of the literature review was to help to formulate the theoretical framework of UPLIFT project. In the course of the project, the researchers will confront their research results to the body of the literature in order to reach a theoretically based framework. Our colleagues contributed to the review among others.