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

Abstract

We find a 3D flavored = 4 Chern-Simons-matter theory, a kind of = 3 SCFT, has a gravity dual AdS4 × 7(t1, t2, t3) where three coprime parameters can be read off according to the number and charge of 5-branes in the dual Type IIB string setup. Because 7(t1, t2, t3) has been known in literature as Eschenburg space, we exploit some of its properties to examine the correspondence between two sides.