Classification and stability of vacua in maximal gauged supergravity
arXiv:1210.4238 · doi:10.1007/JHEP01(2013)045
Abstract
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]. Nevertheless, it is shown that the resulting mass spectrum is independent of the deformation parameter and can be classified according to the unbroken gauge symmetry at the vacua, rather than the underlying gauging. We also show that the generic Minkowski vacua exhibit instability.
26 pages, 2 tables; v2: improved arguments on vacuum classification, typos corrected; v3: final version to appear in JHEP
References in corpus (6)
- Evidence for a family of SO(8) gauged supergravity theories
- Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
- Charting the landscape of N=4 flux compactifications
- Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
- All G_2 invariant critical points of maximal supergravity
- New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
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- Positive mass theorem in extended supergravities
- Holographic RG flows and symplectic deformations of N=4 gauged supergravity
- Inflation in maximal gauged supergravities