Speaker: Matthew Heydeman (哈佛大学)
Time: 2026-01-28 14:00-16:00
Location: 1410, SIMIS
Zoom Meeting ID: 845 4802 9157 Passcode: SIMIS
摘要：
The dynamics of near-BPS black holes are governed by the breaking of the conformal symmetry that emerges near their horizons. The effective theory describing these dynamics is the so called super-Schwarzian theory, which may be defined and solved exactly for any superconformal group. From this construction, we find that physically sensible black holes can preserve at most 4 supercharges, with the most exceptional example being black holes in AdS3xS3xS3xS1. This notoriously poorly understood background in string theory has a nonlinear large N=4 superconformal symmetry, but we are nevertheless able to make novel predictions for the BPS and near-BPS spectrum from gravity. Notably, we find discrete jumps in the BPS spectrum as a continuous parameter is adjusted– a quantum gravity effect for which no microscopic derivation is currently known. This result is corroborated by constructing a family of non-extremal supersymmetric black holes that contribute to a supersymmetric index yet possess a temperature-dependent free energy.
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