Genus Two Surface and Quarter BPS Dyons: The Contour Prescription

Abstract

Following the suggestion of hep-th/0506249 and hep-th/0612011, we represent quarter BPS dyons in N=4 supersymmetric string theories as string network configuration and explore the role of genus two surfaces in determining the spectrum of such dyons. Our analysis leads to the correct contour prescription for integrating the partition function to determine the spectrum in different domains of the moduli space separated by the walls of marginal stability.

arXiv commentLaTeX file, 25 pages

References in corpus (29)

• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Supergravity flows and D-brane stability
• Counting Dyons in N=4 String Theory
• Branes, Superpotentials and Superconformal Fixed Points
• Quantum Quivers and Hall/Hole Halos
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• String Network
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Dyon Spectrum in CHL Models
• Split attractor flows and the spectrum of BPS D-branes on the Quintic
• R^2 Corrections and Non-perturbative Dualities of N=4 String ground states
• 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
• Exact Black Hole Degeneracies and the Topological String
• Two Centered Black Holes and N=4 Dyon Spectrum
• Spectrum of CHL Dyons from Genus-Two Partition Function
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• Rare Decay Modes of Quarter BPS Dyons
• S-duality Action on Discrete T-duality Invariants
• Adding Charges to N=4 Dyons
• Dyon Death Eaters

Cited by in corpus (14)

• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Lectures on Quantum Black Holes
• Supersymmetric Index from Black Hole Entropy
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Fricke S-duality in CHL models
• A Twist in the Dyon Partition Function
• No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
• Black holes and higher depth mock modular forms
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
• Mock modularity from black hole scattering states
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model