Supersymmetric moduli of the SU(2) x R linear dilaton background and NS5-branes

TL;DR

This paper explores supersymmetric deformations of the SU(2) x R conformal field theory related to NS5-branes, analyzing their holographic implications, supersymmetry properties, and resulting geometries, including non-holographic operators and hyperkähler structures.

Contribution

It characterizes supersymmetric moduli of SU(2) x R, clarifies their holographic roles, and links deformations to NS5-brane configurations and hyperkähler geometries.

Findings

Identification of supersymmetric deformations in SU(2) x R

Analysis of non-holographic operators in the moduli space

Construction of conformally hyperkähler geometries

Abstract

We study several classes of marginal deformations of the conformal field theory SU(2) x R. This theory describes the near-horizon region of a stack of parallel and coincident NS5-branes and is related holographically to little string theory. We investigate the supersymmetry properties of these deformations and we elucidate their role in the context of holography. The conformal field theory moduli space contains "non-holographic" operators that do not seem to have a simple interpretation in little string theory. Subsequently, we analyze several NS5-brane configurations in terms of SU(2) x R deformations. We discuss in detail interesting phenomena, like the excision of the strong coupling region associated with the linear dilaton and the manifestation of the symmetries of an NS5-brane setup in the deforming operators. Finally, we present a class of conformally hyperkaehler geometries that arise as "non-holographic" deformations of SU(2) x R.