Classification and stability of vacua in maximal gauged supergravity

Understand

This article presents a systematic study of critical points for the SL(8, R)-type gauging in four dimensional maximal gauged supergravity.

• We determine all the possible vacua for which the origin of the moduli space becomes a critical point.
• We formulate a new tool which enables us to find analytically the mass spectrum of the corresponding vacua in terms of eigenvalues of the embedding tensor.
• When the cosmological constant is nonvanishing, it turns out that many vacua obtained by the dyonic embedding admit a single deformation parameter of the theory, in agreement with the results of the recent paper by Dall'Agata, Inverso and Trigiante [arXiv:1209.0760].