**Authors: **Jan Manschot

**Publish Date**: 2010/08/13

**Volume:** 299, **Issue:** 3, **Pages:** 651-676

## Abstract

The BPSspectrum is known to change when moduli cross a wall of marginal stability This paper tests the compatibility of wallcrossing with Sduality and electricmagnetic duality for mathcalN=2 supergravity To this end the BPSspectrum of D4D2D0 branes is analyzed in the large volume limit of CalabiYau moduli space Partition functions are presented which capture the stability of BPSstates corresponding to two constituents with primitive charges and supported on very ample divisors in a compact CalabiYau These functions are “mock modular invariant” and therefore confirm Sduality Furthermore wallcrossing preserves electricmagnetic duality but is shown to break the “spectral flow” symmetry of the mathcalN=40 CFT which captures the degrees of freedom of a single constituent

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