Fractional two-branes, toric orbifolds and the quantum McKay correspondence

TL;DR

This paper explores the large-volume counterparts of fractional two-branes on orbifold resolutions, extending the quantum McKay correspondence through explicit examples of C^3/Z_3 and C^3/Z_5.

Contribution

It introduces a systematic method to identify large-volume analogues of fractional two-branes and extends the quantum McKay correspondence with explicit dual constructions.

Findings

Explicit duals for fractional two-branes in C^3/Z_3 and C^3/Z_5

Extension of the quantum McKay correspondence to large-volume regimes

Detailed analysis of crepant resolutions of orbifolds

Abstract

We systematically study and obtain the large-volume analogues of fractional two-branes on resolutions of orbifolds C^3/Z_n. We study a generalisation of the McKay correspondence proposed in hep-th/0504164 called the quantum McKay correspondence by constructing duals to the fractional two-branes. Details are explicitly worked out for two examples -- the crepant resolutions of C^3/Z_3 and C^3/Z_5.