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

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) 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 AdS(7) vacuum, as well as new classes of IIA AdS(3) solutions.