2019/03/31 by Gabriel Lopes Cardoso, G. L. Cardoso, Suresh Nampuri +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Black hole (networking) #Mathematical physics #Mathematics #Ministate #Modular form #Moduli space #Nonlinear Waves and Solitons #Physics #Pure mathematics #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep08(2020)057
published as JHEP08(2020)057 · 72 pages; v2: matches published version
openalex publication_date 2020/08/12 · arxiv created 2020/08/20 · arxiv updated 2020/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract 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.