Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift

2006/03/31 by Atish Dabholkar, Suresh Nampuri · 4 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Compactification (mathematics) #Computer science #Cosmology and Gravitation Theories #Dyon #Factorization #Heterotic string theory #Lift (data mining) #Magnetic monopole #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #String theory #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/11/077

published as JHEP0711:077,2007 · 23 pages, 1 figure

arxiv created 2007/10/01 · openalex publication_date 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The degeneracies of supersymmetric quarter BPS dyons in four dimensions and of spinning black holes in five dimensions in a CHL compactification are computed exactly using Borcherds lift. The Hodge anomaly in the construction has a physical interpretation as the contribution of a single M-theory Kaluza-Klein 6-brane in the 4d-5d lift. Using factorization, it is shown that the resulting formula has a natural interpretation as a two-loop partition function of left-moving heterotic string, consistent with the heuristic picture of dyons in the M-theory lift of string webs.

Citations

• Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
• Re-Recounting Dyons in N=4 String Theory
• String theory dynamics in various dimensions
• BPS black hole degeneracies and minimal automorphic representations
• Algebras, BPS states, and strings
• Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I
• Automorphic forms onO s +2,2(R) and infinite products
• On the partition sum of the NS five-brane
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Counting dyons in Script N = 8 string theory

Cited by

• An approach to BPS black hole microstate counting in an N = 2 STU model
• Black hole entropy function, attractors and precision counting of microstates
• Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the ℤ2 model
• A twist in the dyon partition function