Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory

TL;DR

This paper extends the AdS/CFT correspondence to superstrings on pp-wave orbifolds, establishing a detailed operator-state map and confirming it through perturbative gauge theory calculations.

Contribution

It provides a precise gauge/string duality map for superstrings on pp-wave orbifolds within large-N quiver gauge theories, including twisted sectors.

Findings

Operator-state map matches string spectrum predictions.

Perturbative anomalous dimensions agree with string energies.

Validates the gauge/string duality in orbifold backgrounds.

Abstract

We extend the proposal of Berenstein, Maldacena and Nastase to Type IIB superstring propagating on pp-wave over ${\bf R}^4/{\bf Z}_k$ orbifold. We show that first-quantized free string theory is described correctly by the large $N$, fixed gauge coupling limit of ${\cal N}=2$ $[U(N)]^k$ quiver gauge theory. We propose a precise map between gauge theory operators and string states for both untwisted and twisted sectors. We also compute leading-order perturbative correction to the anomalous dimensions of these operators. The result is in agreement with the value deduced from string energy spectrum, thus substantiating our proposed operator-state map.