Séminaire de Physique Théorique
No-go theorems for higher-spin charges in AdS2Antonio Antunes (LPENS, Paris)
Thursday 28 May 2026 14:00 - Salle des séminaires - Salle 1180, bâtiment E2
Résumé :
Higher-spin conserved currents and charges feature prominently in integrable 2d QFTs in flat space. Motivated by the question of integrable field theories in curved space and by results of the conformal bootstrap, we will consider the consequences of higher-spin currents for QFTs in AdS2. Namely, we will show that their presence is much more constraining than in flat space in particular proving that it is impossible to preserve: (a) any higher-spin charges when deforming a massive free field by interactions, or (b) any spin-4 charges when deforming a CFT by a Virasoro primary. Along the way, we will show that in AdS one cannot `partially' conserve a higher-spin current and explain how higher-spin charges lead to integer spacing in the spectrum of primaries, and to constraints on correlation functions.
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