Emotions are decisive to geographies of performance, yet our understanding of their role in critical geopolitics is non-existent. This paper addresses this deficit. We argue performances link statecraft with statehood to create geopolitical power in what we term 'spaces of possibility'. Examination of these spaceswhere state claim-making materialises through diplomatic performance and emotionsis we argue crucial, for representing the state is far more than the simple articulation of claim-making discourses. Instead, it is an active 'lived experience' for diplomats that exposes the challenges and vulnerabilities of personal performance through everyday political geographies. Consequently, here we set out a new research agenda for an emotional geopolitics that directly addresses the pivotal role of performance in state claim-making. Our focus for this is the 'topography of action' of the United Nations (UN) in New York. Deploying assemblage thinking and using extensive primary interview data from 11 current and former UN Ambassadors, we illustrate the centrality of material, visceral and sensual embodiments as they emerge out of and through diplomatic claim-making in different performative contexts. In doing so, we advance geographic debates by demonstrating how emotions are inseparable facets of diplomatic life.