Branes, quivers and wave-functions

Branes, quivers and wave-functions

Blog Article

We consider a large class of branes in toric strip geometries, both non-periodic and periodic ones.For a fixed background Bath Soak geometry we show that partition functions for such branes can be reinterpreted, on one hand, as quiver generating series, and on the other hand as wave-functions in various polarizations.We determine operations on quivers, as well as $SL(2,mathbb{Z})$ transformations, which correspond to changing positions of these branes.

Our Bone Health results prove integrality of BPS multiplicities associated to this class of branes, reveal how they transform under changes of polarization, and imply all other properties of brane amplitudes that follow from the relation to quivers.