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

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 bl...

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Bibliographic Details
Published in:The journal of high energy physics 2020-08, Vol.2020 (8), p.1-71, Article 57
Main Authors: Cardoso, G.L., Nampuri, S., Polini, D.
Format: Article
Language:English
Subjects:
Black holes
Black Holes in String Theory
Classical and Quantum Gravitation
Elementary Particles
Extended Supersymmetry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
String Duality
String Theory
Supergravity
Topological Strings
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2020)057