In this article, we explore the rhetorical space structuring the debates in the United Nations General Assembly's (UNGA) Committee on Disarmament and International Security. To this end, we unfold states' speeches by combining three established methods. First, we estimate terms' relevance for latent topics structuring the debates with structural topic modeling. Second, we estimate topic-specific positions based on the Wordfish algorithm. Third, we map these positions onto a lower-dimensional rhetorical space using principal component analysis. We identify two latent conflicts. First, a debate over conventional weapons with states emphasizing security interests on the one end and humanitarian interests on the other. Second, a conflict over weapons of mass destruction that divides defenders and challengers of the status quo.