Recounting Dyons in N=4 String Theory
arXiv:hep-th/0505094 · doi:10.1088/1126-6708/2006/10/087
Abstract
A recently discovered relation between 4D and 5D black holes is used to derive weighted BPS black hole degeneracies for 4D N=4 string theory from the well-known 5D degeneracies. They are found to be given by the Fourier coefficients of the unique weight 10 automorphic form of the modular group Sp(2,Z). This result agrees exactly with a conjecture made some years ago by Dijkgraaf, Verlinde and Verlinde.
5 pages
References in corpus (2)
Cited by in corpus (27)
- Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
- Black hole partition functions and duality
- Supersymmetric Index from Black Hole Entropy
- Dyon Spectrum in N=4 Supersymmetric Type II String Theories
- BPS Black Hole Degeneracies and Minimal Automorphic Representations
- Spectrum of CHL Dyons from Genus-Two Partition Function
- Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
- Nernst branes in gauged supergravity
- Supersymmetric Localization for BPS Black Hole Entropy: 1-loop Partition Function from Vector Multiplets
- No entropy enigmas for N=4 dyons
- Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
- Unravelling Mathieu Moonshine
- Exact charges from heterotic black holes
- Negative discriminant states in N=4 supersymmetric string theories
- Black Holes with Intrinsic Spin
- The world-sheet corrections to dyons in the Heterotic theory
- Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
- The Hodge-elliptic genus, spinning BPS states, and black holes
- Dyon degeneracies from Mathieu moonshine
- BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
- Automorphic Black Holes as Probes of Extra Dimensions
- Mock Modular Index of M2-M5 Brane System
- Positivity of discrete information for CHL black holes
- An approach to BPS black hole microstate counting in an N=2 STU model
- Mock modularity at work, or black holes in a forest
- Partition function of dyonic black holes in N=4 string theory
- String networks as tropical curves