High Energy Theory Seminar

In this talk, we investigate the supersymmetric entropy of (single-centered) 4d N=2 BPS black holes obtained as gravitational solutions of Type IIA string theory compactified on a Calabi-Yau threefold. Focusing on the large volume regime, we first derive the quantum entropy of the most general such solution including the all-genera leading-order α′-corrections. These can be equivalently seen as D0-brane quantum (loop) effects from a dual five-dimensional perspective. We find that these corrections generically lead to both perturbative and non-perturbative contributions to the black hole entropy, and we argue that the exception occurs for certain special configurations where the gauge background turned on by the black hole behaves as purely electric or magnetic, when seen through the lens of the D0-brane probes. To further probe this, we perform both a semiclassical analysis of the (non-)BPS particle dynamics in the near horizon AdS2×S2 geometry, as well as set up the full path integral computation for a N=2 hypermultiplet in the corresponding maximally supersymmetric background. This latter calculation can be regarded as the analogue of the Gopakumar-Vafa representation directly obtained in the attractor geometry and qualitatively agrees with the semiclassical predictions. 

The talk is in 469 Lauritsen.

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