Stability and duality in N=2 supergravity

Details Stability and duality in N=2 supergravity Stability and duality in N=2 supergravity

2009-06-09

arxiv.org/abs/0906.1767v3

Commun.Math.Phys.299:651-676,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages + appendix; v3: final version

Scientific paper

10.1007/s00220-010-1104-x

The BPS-spectrum is known to change when moduli cross a wall of marginal stability. This paper tests the compatibility of wall-crossing with S-duality and electric-magnetic duality for N=2 supergravity. To this end, the BPS-spectrum of D4-D2-D0 branes is analyzed in the large volume limit of Calabi-Yau moduli space. Partition functions are presented, which capture the stability of BPS-states corresponding to two constituents with primitive charges and supported on very ample divisors in a compact Calabi-Yau. These functions are `mock modular invariant' and therefore confirm S-duality. Furthermore, wall-crossing preserves electric-magnetic duality, but is shown to break the `spectral flow' symmetry of the N=(4,0) CFT, which captures the degrees of freedom of a single constituent.

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