Description
We use the exact statistical degeneracy formula of single-centred 1/4 BPS dyonic black holes in 4D N = 4 toroidally compactified heterotic string theory, given in terms of the Igusa cusp form of Sp(2,Z) to write down the gravitational path integral that captures black hole degeneracy as a sum over Euclidean backgrounds including orbifolds of the Euclidean AdS2 × S2 attractor geometry. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies.
Based on arXiv.2211.06873
