2009/06/30 by Jan Manschot · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Compatibility (geochemistry) #Duality (order theory) #Marginal stability #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Stability (learning theory) #Supergravity #hep-th #math.AG
paper · pdf · doi:10.1007/s00220-010-1104-x
published as Commun.Math.Phys.299:651-676,2010 · 25 pages + appendix; v3: final version
openalex publication_date 2010/08/12 · arxiv created 2010/08/17 · arxiv updated 2010/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.