Fractional Branes and Wrapped Branes

TL;DR

This paper explores fractional D-branes in orbifold resolutions, showing they originate from the Coulomb branch of quiver gauge theories and are interpreted as wrapped membranes, enriching the understanding of string and Matrix theories on orbifolds.

Contribution

It demonstrates that fractional D-branes are part of the Coulomb branch in quiver gauge theories and confirms their interpretation as wrapped membranes.

Findings

Fractional D-branes arise from the Coulomb branch of quiver gauge theories.

They are confirmed to be interpreted as wrapped membranes.

Fractional branes are integral to the full physical Hilbert space.

Abstract

We discuss the ``fractional D-branes'' which arise in orbifold resolution. We argue that they arise as subsectors of the Coulomb branch of the quiver gauge theory used to describe both string theory D-brane and Matrix theory on an orbifold, and thus must form part of the full physical Hilbert space. We make further observations confirming their interpretation as wrapped membranes.