Eschenburg space as gravity dual of flavored N=4 Chern-Simons-matter theory

TL;DR

This paper identifies a gravity dual for a flavored N=4 Chern-Simons-matter theory in three dimensions, using Eschenburg space as the internal manifold in the AdS4 background, linking brane configurations to geometric parameters.

Contribution

It establishes a new AdS/CFT correspondence between flavored N=4 Chern-Simons-matter theories and Eschenburg space geometries, connecting brane charges to geometric parameters.

Findings

Eschenburg space serves as the gravity dual's internal manifold.

Parameters t1, t2, t3 correspond to brane charges and configurations.

The correspondence enhances understanding of 3D SCFTs and their holographic duals.

Abstract

We find 3D flavored N=4 Chern-Simons-matter theory, a kind of N=3 SCFT, has a gravity dual AdS4xM7(t1,t2,t3) where three coprime parameters can be read off according to the number and charge of 5-branes in Type IIB setup. Because M7(t1,t2,t3) has been known in literatures as Eschenburg space, we exploit some of its properties to examine the correspondence between two sides.