Classification and stability of vacua in maximal gauged supergravity

A bstract This article presents a systematic study of critical points for the SL(8, )-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 via SL(8, ) transformations. We formulate a new to...

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Bibliographic Details
Published in:The journal of high energy physics 2013-01, Vol.2013 (1), p.1-32, Article 45
Main Authors: Kodama, Hideo, Nozawa, Masato
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Critical point
Deformation
Eigenvalues
Elementary Particles
Gaging
Gauging
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Stability
String Theory
Supergravity
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Summary:A bstract This article presents a systematic study of critical points for the SL(8, )-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 via SL(8, ) transformations. 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 [1]. 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2013)045