Warped G2 throats from deformed conifolds in IIA supergravity

TL;DR

This paper investigates specific warped supergravity solutions involving deformed conifolds in type IIA string theory, exploring flux configurations and G2 space embeddings relevant for string compactifications.

Contribution

It provides a detailed analysis of warped G2 throats from deformed conifolds in IIA supergravity, including flux support and implications for compactification.

Findings

Construction of warped IIA solutions with deformed conifolds

Identification of flux configurations supporting 3- and 4-cycles

Insights into G2 space embeddings in supergravity setups

Abstract

We analyze the IIA supergravity solutions corresponding to a warped product of a 3D external Minkowski space and a 7D internal non-compact space, with the latter being the direct product of a deformed conifold and a circle. The specific construction allows for the presence of either a finite 4-cycle or a 3-cycle at the tip supported by the $F_4$ or the $H_3$ flux respectively. Once we mod-out by a $Z_2$ involution we can also get a G2 space, and for completeness we also report on some basic features that we expect from the embedding in a compact setup.