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

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Recently, AdS₇ solutions of IIA supergravity have been classified; there are infinitely many of them, whose expression is known analytically, and with internal space of S³ topology. Their field theory duals are six-dimensional (1,0) SCFT's. In this paper we show that for each of these AdS₇ 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 S³. This explains the universality observed in recent work on AdS₅ and AdS₄ solutions dual to compactifications of the (1,0) SCFT₆'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 AdS₇ vacuum, as well as new classes of IIA AdS₃ solutions.