Wall Crossing Structures and Application to SU(3) Seiberg-Witten Integrable system

Abstract

We apply the wall crossing structure formalism of Kontsevich and Soibelman to Seiberg-Witten integrable systems associated to pure $SU(3)$. This gives an algorithm for computing the Donaldson-Thomas invariants, which correspond to BPS degeneracy of the corresponding BPS states in physics. The main ingredients of this algorithm are the use of split attractor flows and Kontsevich Soibelman wall crossing formulas. Besides the known BPS spectrum in pure $SU(3)$ case, we obtain new family of BPS states with BPS-invariants equal to 2.

15 pages, 4 figures

References in corpus (5)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-Crossing from Boltzmann Black Hole Halos
• Wild Wall Crossing and BPS Giants
• Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry
• Charges of dyons in N=2 supersymmetric gauge theory

Cited by in corpus (2)

• Elliptic Loci of SU(3) Vacua
• Attractor Flow Versus Hesse Flow in Wall-Crossing Structures