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

TL;DR

The paper extends the BMN gauge/string correspondence to Type IIB strings on a pp-wave orbifold and identifies a detailed operator-state map for both untwisted and twisted sectors within a large-N, fixed-coupling N=2 quiver gauge theory. It derives the string spectrum in the pp-wave orbifold, constructs the dual gauge-theory operators (including fractionally moded twisted-sector states) and analyzes their anomalous dimensions at leading order, finding agreement with the light-cone energy spectrum. The results establish a concrete operator dictionary in orbifold backgrounds and show that leading perturbative corrections reproduce the expected string energies, reinforcing the gauge/string duality beyond maximal supersymmetry. Overall, the work demonstrates the robustness of the BMN-type correspondence in a richer quiver gauge theory setting and provides explicit tests in the presence of twisted sectors.

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.