An approach to BPS black hole microstate counting in an N = 2 STU model

Autor: Davide Polini, Suresh Nampuri, Gabriel Lopes Cardoso
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2020, Iss 8, Pp 1-71 (2020)
Journal of High Energy Physics
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2020)057
Popis: 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.
Comment: 72 pages; v2: matches published version
Databáze: OpenAIRE