Universal consistent truncation for 6d/7d gauge/gravity duals

TL;DR

This paper demonstrates a universal consistent truncation from massive IIA supergravity to minimal gauged supergravity in seven dimensions for all known AdS_7 solutions, revealing a unified framework for their dual six-dimensional SCFTs and related lower-dimensional solutions.

Contribution

It establishes a universal consistent truncation for all known AdS_7 solutions with S^3 internal space, linking them to minimal gauged supergravity and enabling new holographic RG flow analyses.

Findings

Existence of a universal truncation for all AdS_7 solutions

Connection between AdS_7 solutions and lower-dimensional AdS solutions

New classes of IIA AdS_3 solutions derived from the truncation

Abstract

Recently, AdS_7 solutions of IIA supergravity have been classified; there are infinitely many of them, whose expression is known analytically, and with internal space of S^3 topology. Their field theory duals are six-dimensional (1,0) SCFT's. In this paper we show that for each of these AdS_7 solutions there exists a consistent truncation from massive IIA supergravity to minimal gauged supergravity in seven dimensions. This theory has an SU(2) gauge group, and a single scalar, whose value is related to a certain distortion of the internal S^3. This explains the universality observed in recent work on AdS_5 and AdS_4 solutions dual to compactifications of the (1,0) SCFT_6's. Thanks to previous work on the minimal gauged supergravity, the truncation also implies the existence of holographic RG-flows connecting those solutions to the AdS_7 vacuum, as well as new classes of IIA AdS_3 solutions.