The AdS/CFT/Unparticle Correspondence

TL;DR

This paper explores the holographic relationship between AdS/CFT and unparticle physics, demonstrating how unparticle actions relate to AdS boundary actions and analyzing their infrared behavior and gauge interactions.

Contribution

It establishes a correspondence between unparticle actions and AdS boundary actions, introducing a new infrared cutoff mechanism and analyzing gauge interactions within this framework.

Findings

Unparticle actions are equivalent to holographic boundary actions in AdS.

Massive unparticles act as an infrared cutoff via soft conformal symmetry breaking.

Gauge interactions for unparticles correspond to bulk gauge interactions in AdS.

Abstract

We examine the correspondence between the anti-de Sitter (AdS) description of conformal field theories (CFTs) and the unparticle description of CFTs. We show how unparticle actions are equivalent to holographic boundary actions for fields in AdS, and how massive unparticles provide a new type of infrared cutoff that can be simply implemented in AdS by a soft breaking of conformal symmetry. We also show that processes involving scalar unparticles with dimensions d_s<2 or fermion unparticles with dimensions d_f<5/2 are insensitive to ultraviolet cutoff effects. Finally we show that gauge interactions for unparticles can be described by bulk gauge interactions in AdS and that they correspond to minimal gauging of the non-local effective action, and we compute the fermion unparticle production cross-section.