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

TL;DR

The paper establishes a universal, consistent truncation of massive IIA supergravity on the $S^3$-fibred internal space $M_3$ to seven-dimensional minimal gauged supergravity with an $SU(2)$ gauge group and a single scalar. This truncation applies to the entire infinite class of AdS$_7$ solutions and allows uplift to ten dimensions, enabling holographic RG flows that connect AdS$_7$ vacua to AdS$_5$, AdS$_4$, and novel AdS$_3$ backgrounds. By relating the seven- and ten-dimensional formalisms at the level of equations of motion and supersymmetry, the work proves a universal sector common to all six-dimensional $(1,0)$ SCFTs realized in massive IIA. The results provide a concrete framework to study compactifications, RG flows, and the spectrum of operators in the dual CFTs, with potential extensions to more intricate reductions and M-theory connections.

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.