Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity

TL;DR

This paper classifies new classes of supersymmetric AdS solutions in massive IIA supergravity across dimensions 7, 5, and 4, revealing universal mappings and potential dual field theories, with implications for flux compactifications.

Contribution

It introduces three analytic classes of AdS solutions in massive IIA supergravity and establishes universal maps connecting them, expanding the landscape of known supergravity backgrounds.

Findings

Three classes of supersymmetric AdS solutions are described.

Universal maps relate solutions across different dimensions.

Solutions include localized D-brane and O-planes, with potential dual field theories.

Abstract

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is topologically S^3) are mapped to AdS_5 x Sigma_2 x M'_3, where Sigma_2 is a Riemann surface of genus g >= 2 and the metric on M'_3 is obtained by distorting M_3 in a certain way. The solutions can have localized D6 or O6 sources, as well as an arbitrary number of D8-branes. The AdS_7 case (previously known only numerically) is conjecturally dual to an NS5-D6-D8 system. The field theories in three and four dimensions are not known, but their number of degrees of freedom can be computed in the supergravity approximation. The AdS_4 solutions have numerical "attractor" generalizations that might be useful for flux compactification purposes.