Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure

TL;DR

This paper explores flux vacua attractor equations in generalized compactifications of string theory, extending previous work to include nonzero RR flux and AdS vacua in type II theories on SU(3)xSU(3) structures.

Contribution

It derives and analyzes attractor equations for N=1 vacua in type IIA/B on SU(3)xSU(3) structures, including cases with nonzero RR flux and AdS vacua, correcting previous normalization errors.

Findings

Attractor equations encode Minkowski vacua with vanishing RR flux.

Extended attractor equations for nonzero RR flux and AdS vacua.

Correction of previous normalization errors in attractor equations.

Abstract

We summarize and extend our work on flux vacua attractors in generalized compactifications. After reviewing the attractor equations for the heterotic string on SU(3) structure manifolds, we study attractors for N=1 vacua in type IIA/B on SU(3)xSU(3) structure spaces. In the case of vanishing RR flux, we find attractor equations that encode Minkowski vacua only (and which correct a previous normalization error). In addition to our previous considerations, here we also discuss the case of nonzero RR flux and the possibility of attractors for AdS vacua.