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Résumé |
Consistency on manifolds other than flat space is known to constrain CFT data, as exemplified by Cardy’s celebrated formula for the asymptotic density of states. We will discuss some recent developments coming from studying CFTs on the thermal geometry S^1 x S^{d-1} in higher dimensions, mostly focusing on d=3. After reviewing the notion of the thermal effective action for the partition function and its consequences for the asymptotic spectral density, we will describe how the study of one-point functions leads to new asymptotic formulas for heavy-heavy-light OPE coefficients. These general results will be illustrated on the example of free fields. The talk is based on 2506.21671. |
