AdS_3: the NHEK generation

TL;DR

This paper demonstrates a method to embed NHEK geometries into asymptotically-AdS_3 x S^3/Z_N solutions, linking NHEK to a dual CFT as an IR fixed point of a RG flow from a known UV CFT.

Contribution

It provides a new embedding technique for NHEK geometries into asymptotically-AdS_3 backgrounds, facilitating the explicit construction of its dual CFT.

Findings

Embedded NHEK into asymptotically-AdS_3 x S^3/Z_N solutions.

Identified NHEK as an IR fixed point of a RG flow from a UV CFT.

Opened pathways for explicit dual CFT construction.

Abstract

It was argued in arXiv:1203.4227 that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges. We show that there exists a method to embed these geometries into asymptotically-AdS_3 x S^3/Z_N solutions, and hence to obtain infinite families of flows whose infrared is NHEK. This indicates that the CFT dual to the NHEK geometry is the IR fixed point of a Renormalization Group flow from a known local UV CFT and opens the door to its explicit construction.