Boundary states and non-abelian orbifolds

TL;DR

This paper analyzes boundary states in non-abelian orbifolds, revealing group-theoretical structures and proposing a consistent boundary state prescription that encodes the McKay correspondence through string amplitude factors.

Contribution

It provides a new prescription for boundary states in ADE orbifolds with regular Chan-Paton actions, linking string amplitudes to the McKay correspondence.

Findings

Boundary states encode McKay correspondence

Consistent boundary state prescription for ADE orbifolds

Numerical factors in string amplitudes reveal group-theoretical aspects

Abstract

In this note the open string partition function is analyzed carefully in a way to reveal the group-theoretical aspects. For the simple cases of ADE orbifolds with regular Chan-Paton action a prescription for consistent boundary states is given. In the process of outlining how they encode McKay correspondence, we argue that this results from a non-trivial conspiracy of numerical factors in the string amplitudes.