Uplifts of maximal supergravities and transitions to non-geometric vacua

Abstract

We describe a new procedure to obtain consistent backgrounds that uplift vacua and deformations of various maximal gauged supergravities by taking a known solution and performing singular limits along the moduli space of the corresponding 4-dimensional theory. We then apply this procedure to the S 3 × H 2,2 background that provides the uplift of 4-dimensional Minkowski vacua of maximal supergravity with gauge group [SO(4) × SO(2,2)] ⋉R 16 . We find that the newly generated vacua are generally only locally geometric and correspond to asymmetric orbifolds, Q-flux backgrounds or combinations thereof. We also provide the uplift to eleven dimensions of all the four-parameter Cremmer-Scherk-Schwarz gaugings.

Old and new vacua of 5D maximal supergravity

“…All AdS vacua appear in the SO(6) theory, which is a consistent truncation of type IIB supergravity compactified on S 5 [39]. A subset of the CSS gaugings and their vacua M1 are known to be the result of a twisted torus reduction [34], while the most general gauging and vacuum in this class may admit JHEP04(2021)039 an uplift through a generalised Scherk-Schwarz Ansatz analogous to the ones described for four-dimensional CSS gaugings in [28].…”

“…In addition to the power of investigating in a single sweep all deformations of maximal supergravity, this approach has so far produced analytic results for the critical points and their full spectrum, also providing information on the gauging, the residual gauge symmetry and supersymmetry of the vacua. Moreover, for Minkowski vacua this led to understanding the moduli space of these theories [24] as well as their uplift to string theory [28]. Finally, since the vacua are obtained without specifying first the gauging, this means that we can exhaustively classify vacua with a given residual symmetry for all possible consistent gaugings.…”