Counting all dyons in N =4 string theory

Abstract

For dyons in heterotic string theory compactified on a six-torus, with electric charge vector Q and magnetic charge vector P, the positive integer I = g.c.d.(Q \wedge P) is an invariant of the U-duality group. We propose the microscopic theory for computing the spectrum of all dyons for all values of I, generalizing earlier results that exist only for the simplest case of I=1. Our derivation uses a combination of arguments from duality, 4d-5d lift, and a careful analysis of fermionic zero modes. The resulting degeneracy agrees with the black hole degeneracy for large charges and with the degeneracy of field-theory dyons for small charges. It naturally satisfies several physical requirements including integrality and duality invariance. As a byproduct, we also derive the microscopic (0,4) superconformal field theory relevant for computing the spectrum of five-dimensional Strominger-Vafa black holes in ALE backgrounds and count the resulting degeneracies.

References in corpus (16)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Black hole partition functions and duality
• 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
• 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
• On The Stability of Non-Supersymmetric Attractors in String Theory
• S-duality Action on Discrete T-duality Invariants
• Degeneracy of Decadent Dyons
• Three String Junction and N=4 Dyon Spectrum

Cited by in corpus (31)

• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Wall-Crossing from Boltzmann Black Hole Halos
• Nonperturbative black hole entropy and Kloosterman sums
• Exponential corrections to black hole entropy
• F-Theory, Spinning Black Holes and Multi-string Branches
• Nernst branes in gauged supergravity
• First search for dyons with the full MoEDAL trapping detector in 13 TeV pp collisions
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Fricke S-duality in CHL models
• Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity
• No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
• Single-centered black hole microstate degeneracies from instantons in supergravity
• Negative discriminant states in N=4 supersymmetric string theories
• BPS State Counting in N=8 Supersymmetric String Theory for Pure D-brane Configurations
• Dyonic black hole degeneracies in $\mathcal{N}=4$ string theory from Dabholkar-Harvey degeneracies
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Black Hole Bound State Metamorphosis
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• Indefinite theta functions and black hole partition functions
• Black Hole Hair Removal For N=4 CHL Models
• Generating new $N=2$ small black holes
• An approach to BPS black hole microstate counting in an N=2 STU model
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models
• Refinement and modularity of immortal dyons
• Positivity of discrete information for CHL black holes
• Mock modularity at work, or black holes in a forest
• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
• On the Gravitini Zero Modes riding on top of Multiple Black Holes
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Signatures of quantum geometry from exponential corrections to the black hole entropy