Dyon spectrum in CHL models

2005/10/31 by Dileep P. Jatkar, Dileep P Jatkar, Ashoke Sen · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Class (philosophy) #Degeneracy (biology) #Dyon #Entropy (arrow of time) #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Spectrum (functional analysis) #hep-th #math.AG

paper · pdf · doi:10.1088/1126-6708/2006/04/018

published as JHEP 0604:018,2006 · LaTeX file, 38 pages, minor changes in section 3.3(v2), minor changes in introduction, appendix A and C(v3)

arxiv created 2006/02/25 · openalex publication_date 2006/04/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a formula for the degeneracy of quarter BPS dyons in a class of CHL models. The formula uses a modular form of a subgroup of the genus two modular group Sp(2,Z). Our proposal is S-duality invariant and reproduces correctly the entropy of a dyonic black hole to first non-leading order for large values of the charges.

Citations

• String theory dynamics in various dimensions
• Black Hole Entropy, Special Geometry and Strings
• Unity of superstring dualities

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