Strings on Orbifolded PP-waves

TL;DR

This paper demonstrates the correspondence between string spectra in orbifolded pp-wave backgrounds and operators in N=2 quiver gauge theories, confirming duality predictions through explicit quantization and boundary condition analysis.

Contribution

It provides a detailed quantization of Green-Schwarz strings on orbifolded pp-waves and matches the spectrum with gauge theory operators, including twisted boundary conditions.

Findings

String spectrum matches gauge theory operators.

Twisted boundary conditions are naturally interpreted.

Order g_{YM}^2 corrections agree with string theory.

Abstract

We show that the string spectrum in the pp-wave limit of AdS_5\times S^5/Z_M (orbifolded pp-wave) is reproduced from the N=2 quiver gauge theory by quantizing the Green-Schwarz string theory on the orbifolded pp-wave in light cone gauge. We find that the twisted boundary condition on the world-sheet is naturally interpreted from the viewpoint of the quiver gauge theory. The correction of order g_{YM}^2 to the gauge theory operators agrees with the result in its dual string theory. We also discuss strings on some other orbifolded pp-waves.