N=8 Dyon Partition Function and Walls of Marginal Stability

Abstract

We construct the partition function of 1/8 BPS dyons in type II string theory on T^6 from counting of microstates of a D1-D5 system in Taub-NUT space. Our analysis extends the earlier ones by Shih, Strominger and Yin and by Pioline by taking into account the walls of marginal stability on which a 1/8 BPS dyon can decay into a pair of half-BPS dyons. Across these walls the dyon spectrum changes discontinuously, and as a result the spectrum is not manifestly invariant under S-duality transformation of the charges. However the partition function is manifestly S-duality invariant and takes the same form in all domains of the moduli space separated by walls of marginal stability, -- the spectra in different domains being obtained by choosing different integration contours along which we carry out the Fourier transform of the partition function. The jump in the spectrum across a wall of marginal stability, calculated from the behaviour of the partition function at an appropriate pole, reproduces the expected wall crossing formula.

LaTeX file, 22 pages; v3: minor clarifications added; v4: minor expansion; v5: minor corrections

References in corpus (9)

• Comments on the Spectrum of CHL Dyons
• Two Centered Black Holes and N=4 Dyon Spectrum
• Re-Recounting Dyons in N=4 String Theory
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Crossing the Wall: Branes vs. Bundles
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Rare Decay Modes of Quarter BPS Dyons
• On the dyon partition function in N=2 theories
• Kinematical Analogy for Marginal Dyon Decay

Cited by in corpus (4)

• Black holes admitting a Freudenthal dual
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• U-duality Invariant Dyon Spectrum in type II on T^6