Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6

Abstract

For heterotic string theory compactified on T^6, we derive the complete set of T-duality invariants which characterize a pair of charge vectors (Q,P) labelling the electric and magnetic charges of the dyon. Using this we can identify the complete set of dyons to which the previously derived degeneracy formula can be extended. By going near special points in the moduli space of the theory we derive the spectrum of quarter BPS dyons in N=4 supersymmetric gauge theory with simply laced gauge groups. The results are in agreement with those derived from field theory analysis.

arXiv commentLaTeX file, 22 pages

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• BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
• Supersymmetry, Localization and Quantum Entropy Function
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Counting all dyons in N =4 string theory
• Arithmetic of N=8 Black Holes
• U-duality Invariant Dyon Spectrum in type II on T^6
• Small Orbits
• Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity
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• Observations on Integral and Continuous U-duality Orbits in N=8 Supergravity
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• Freedom and Constraints in the K3 Landscape
• Borcherds Algebras and N=4 Topological Amplitudes
• Perturbative tests of non-perturbative counting
• Constraints on "rare" dyon decays
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• Real weights, bound states and duality orbits
• Quantum entropy of supersymmetric black holes
• Refinement and modularity of immortal dyons
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model