Abstract
Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group SO(4)×SO(2,2)⋉T16. Both admit a Minkowski vacuum with residual SO(4)×SO(2)2 symmetry and identical spectrum. We explore these vacua and their deformations. Using exceptional field theory, we show that the four-dimensional theories arise as consistent truncations from IIA and IIB supergravity, respectively, around a Mink×4S3×H3 geometry. The IIA/IIB truncations are efficiently related by an outer automorphism of SL(4) ⊂ E7(7). As an application, we give an explicit uplift of the moduli of the vacua into a 4-parameter family of ten-dimensional solutions.
Highlights
D = 4 Minkowski vacua from ten dimensionsMaximal N = 8 gauged supergravity in four dimensions allows for a number of Minkowski vacua with various gauge groups and different degrees of supersymmetry, many of which have only been revealed and studied in recent years [1,2,3,4,5]
We showed that the inequivalent four-dimensional theories come from truncating IIA or IIB around the same Mink4 × S3 × H3 background, with the IIA / IIB gaugings naturally arising in the SU∗(8) and SL(8) frames, respectively
The two consistent truncations are related by an outer automorphism of SL(4) which can be taken to act on the S3, or H3, using the techniques outlined in [29]
Summary
In an a priori unrelated development, new efficient tools for the higher-dimensional uplift of four-dimensional solutions and theories have emerged from the duality covariant reformulations of the higher-dimensional supergravity theories In this framework, non-toroidal compactifications of supergravity are realized as generalized Scherk-Schwarz reductions on extended spacetimes [8,9,10,11,12,13,14]. MMN (x) is the SO(d, d) valued matrix parametrizing the scalar target space, φ(x) is the dilaton field, and the generalized structure constants XMN K encode the structure constants fkmn of the group G, see (6) below It has further been observed in [15] that for non-compact groups G the potential (1) admits a Minkowski vacuum if the number of compact and non-compact generators of G are related by ncp = 2 nnon-cp.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
