Abstract
We identify the space of symplectic deformations of maximal gauged supergravity theories. Coordinates of such space parametrize inequivalent supergravity models with the same gauge group. We apply our procedure to the SO(8) gauging, extending recent analyses. We also study other interesting cases, including Cremmer-Scherk-Schwarz models and gaugings of groups contained in SL(8, $$ \mathbb{R} $$ ) and in SU*(8).
Highlights
Know that there is a continuous deformation parameter, which changes the couplings of this model, preserving the maximally supersymmetric AdS vacuum [1]
The fact that similar deformations exist for several gaugings and that the ω parameter often survives the truncation to models with lower supersymmetry suggests that such deformations of gauged supergravity can be a quite general phenomenon, and not limited to the maximal theory
In this paper we focus on maximal supergravity in D = 4 and we describe how to characterize these deformations in full generality
Summary
The gauging process promotes up to 28 of the vector fields AM μ , transforming in the 56 representation of the E7(7) duality group, to connection fields for the gauge group Ggauge. The constraints in (2.4) become θrufsut − fsruθut + hsraθat + Csruθut + Csraθat = 0, θaufsut = θrufsut = θaufsut = 0, θrufsur + θauhusa + θruCusr + θauCusa = 0, θruCuar = θsuhusa = θsufusr = 0, θ(ruCust) = 2θ(ruCus)a + θauCurs = θauCurb = θtuCurs = θauCurs = 0. This form of the generators guarantees that θM r = δM r is a solution of the constraints
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