BPS State Counting in N=8 Supersymmetric String Theory for Pure D-brane Configurations

Abstract

Exact results for the BPS index are known for a class of BPS dyons in type II string theory compactified on a six dimensional torus. In this paper we set up the problem of counting the same BPS states in a duality frame in which the states carry only Ramond-Ramond charges. We explicitly count the number of states carrying the lowest possible charges and find agreement with the result obtained in other duality frames. Furthermore, we find that after factoring out the supermultiplet structure, each of these states carry zero angular momentum. This is in agreement with the prediction obtained from a representation of these states as supersymmetric black holes.

26 pages; v2: minor corrections in section 5; v3: typos corrected

References in corpus (12)

• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Comments on the Spectrum of CHL Dyons
• Supersymmetric Index from Black Hole Entropy
• Arithmetic of Quantum Entropy Function
• A fixed point formula for the index of multi-centered N=2 black holes
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• The M5-Brane Elliptic Genus: Modularity and BPS States
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• U-duality Invariant Dyon Spectrum in type II on T^6