String Creation and Monodromy from Fractional D-branes on ALE spaces

TL;DR

This paper studies how fractional D-branes on ALE spaces cause fundamental string creation and influence gauge theory monodromy, using boundary state formalism and anomaly inflow arguments.

Contribution

It demonstrates the string creation mechanism's role in gauge theory monodromy and connects D-brane amplitudes to beta functions, extending understanding of fractional branes on ALE spaces.

Findings

String creation mechanism matches anomaly inflow predictions.

1-loop monodromy in gauge theories is determined by string creation.

D(-1)-D3 amplitude relates to the gauge theory beta function.

Abstract

We investigate the anomalous creation of fundamental strings using the boundary state formalism of fractional D-branes on ALE spaces in the orbifold limit. The open string Witten index plays a crucial role in this calculation and so the result remains unchanged even if we blow up the orbifold geometrically, matching the anomaly inflow argument. Further we consider the quiver gauge theories on such fractional D3-branes and see that the string creation mechanism determines 1-loop logarithmic monodromy of these gauge theories. Also we comment on the relation of D(-1)-D3 amplitude to the 1-loop beta function.