On the Conformal Field Theory Duals of type IIA AdS_4 Flux Compactifications

TL;DR

This paper investigates the conformal field theory duals of type IIA flux compactifications, analyzing their moduli space, central charge, and operator spectrum using algebraic geometry techniques.

Contribution

It provides a detailed analysis of the moduli space structure and spectrum of the dual CFTs, applying Bezout's and Bernstein's theorems to enumerate branches.

Findings

Multiple branches of the moduli space identified

Estimated dimensions of moduli space branches

Characterized the operator spectrum and central charge

Abstract

We study the conformal field theory dual of the type IIA flux compactification model of DeWolfe, Giryavets, Kachru and Taylor, with all moduli stabilized. We find its central charge and properties of its operator spectrum. We concentrate on the moduli space of the conformal field theory, which we investigate through domain walls in the type IIA string theory. The moduli space turns out to consist of many different branches. We use Bezout's theorem and Bernstein's theorem to enumerate the different branches of the moduli space and estimate their dimension.