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An approach to BPS black hole microstate counting in an N=2 STU model
- Source :
- JHEP08(2020)057
- Publication Year :
- 2019
-
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.<br />Comment: 72 pages; v2: matches published version
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP08(2020)057
- Publication Type :
- Report
- Accession number :
- edsarx.1903.07586
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP08(2020)057