C^2/Z_n Fractional branes and Monodromy

TL;DR

This paper constructs geometric models for fractional branes on orbifold resolutions, utilizing monodromies and symmetries, and establishes a Seiberg-duality linking these to McKay correspondence branes.

Contribution

It provides explicit geometric representatives for fractional branes on C^2/Z_n orbifolds and demonstrates their relation to known branes via Seiberg-duality.

Findings

Explicit geometric representatives for fractional branes.

Connection between fractional branes and McKay correspondence.

Identification of Seiberg-duality relating different brane descriptions.

Abstract

We construct geometric representatives for the C^2/Z_n fractional branes in terms of branes wrapping certain exceptional cycles of the resolution. In the process we use large radius and conifold-type monodromies, and also check some of the orbifold quantum symmetries. We find the explicit Seiberg-duality which connects our fractional branes to the ones given by the McKay correspondence. We also comment on the Harvey-Moore BPS algebras.