BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
arXiv:1106.1318 · doi:10.1016/j.nuclphysb.2012.02.002
Abstract
We study the degeneracy of quarter BPS dyons in N =4 type II compactifications of string theory. We find that the genus-two Siegel modular forms generating the degeneracies of the quarter BPS dyons in the type II theories can be expressed in terms of the genus-two Siegel modular forms generating the degeneracies of quarter BPS dyons in the CHL theories and the heterotic string. This helps us in understanding the algebra structure underlying the degeneracy of the quarter BPS states. The Conway group, Co_1, plays a role similar to Mathieu group, M_{24}, in the CHL models with eta quotients appearing in the place of eta products. We construct BKM Lie superalgebra structures corresponding to Z_N (for N=2,3,4) orbifolds of the type II string compactified on a six-torus.
21 pages
References in corpus (16)
- CHL Dyons and Statistical Entropy Function from D1-D5 System
- Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
- Comments on the Spectrum of CHL Dyons
- Product Representation of Dyon Partition Function in CHL Models
- Dyon Spectrum in N=4 Supersymmetric Type II String Theories
- Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
- Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
- Two Centered Black Holes and N=4 Dyon Spectrum
- Re-Recounting Dyons in N=4 String Theory
- BKM Lie superalgebras from counting twisted CHL dyons
- A Twist in the Dyon Partition Function
- Adding Charges to N=4 Dyons
- Generalized Kac-Moody Algebras from CHL dyons
- Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
- BKM Lie superalgebras from counting twisted CHL dyons -- II
- BKM Lie superalgebra for the Z_5 orbifolded CHL string
Cited by in corpus (6)
- Fricke S-duality in CHL models
- No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
- BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
- Symmetries of K3 sigma models
- BKM Lie superalgebra for the Z_5 orbifolded CHL string
- Black Hole Hair Removal For N=4 CHL Models