Neveu-Schwarz Five-Branes at Orbifold Singularities and Holography

TL;DR

This paper explores the holographic duality between Type IIB Neveu-Schwarz five-branes at orbifold singularities and their near horizon geometries, analyzing the associated conformal field theories and string theories.

Contribution

It proposes a duality between string theory on near horizon geometries of five-branes at orbifold singularities and decoupled brane theories, linking modular invariance to gauge anomaly cancellation.

Findings

Modular invariance matches gauge anomaly cancellation conditions.

The duality provides insights into the holographic nature of little string theories.

Analysis of conformal field theory and world volume string theory supports the conjecture.

Abstract

We consider Type IIB Neveu-Schwarz five-branes transverse to C^2/Z_n orbifolds and conjecture that string theory on the near horizon geometry is dual to the decoupled theory on the branes. We analyze the conformal field theory describing the near horizon region and the world volume non-critical string theory. The modular invariance consistency condition of string theory is exactly reproduced as the gauge anomaly cancellation condition in the little string theories. We comment on aspects of the holographic nature of this duality.