Abstract
We consider four-dimensional dyonic single-center BPS black holes in the N = 2 STU model of Sen and Vafa. By working in a region of moduli space where the real part of two of the three complex scalars S, T , U are taken to be large, we evaluate the quantum entropy function for these BPS black holes. In this regime, the subleading corrections point to a microstate counting formula partly based on a Siegel modular form of weight two. This is supplemented by another modular object that takes into account the dependence on Y 0, a complex scalar field belonging to one of the four off-shell vector multiplets of the underlying supergravity theory. We also observe interesting connections to the rational Calogero model and to formal deformation of a Poisson algebra, and suggest a string web picture of our counting proposal.
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Cardoso, G., Nampuri, S. & Polini, D. An approach to BPS black hole microstate counting in an N = 2 STU model. J. High Energ. Phys. 2020, 57 (2020). https://doi.org/10.1007/JHEP08(2020)057
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DOI: https://doi.org/10.1007/JHEP08(2020)057