The mixed black hole partition function for the STU model

TL;DR

This paper computes the mixed partition function for dyonic BPS black holes in the STU model, showing it factorizes into the OSV partition function and a measure factor, confirming recent conjectures.

Contribution

It provides an explicit evaluation of the mixed partition function for the STU model, validating the measure factor conjecture for N=2 black holes.

Findings

Partition function factorizes into OSV function and measure factor

Results agree with the recently conjectured measure factor

Supports the validity of the degeneracy formula for the STU model

Abstract

We evaluate the mixed partition function for dyonic BPS black holes using the recently proposed degeneracy formula for the STU model. The result factorizes into the OSV mixed partition function times a proportionality factor. The latter is in agreement with the measure factor that was recently conjectured for a class of N=2 black holes that contains the STU model.