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Super-Chern-Simons spectra from exceptional field theory. (English) Zbl 1462.83059

Summary: Exceptional Field Theory has been recently shown to be very powerful to compute Kaluza-Klein spectra. Using these techniques, the mass matrix of Kaluza-Klein vector perturbations about a specific class of \(\mathrm{AdS}_4\) solutions of \(D = 11\) and massive type IIA supergravity is determined. These results are then employed to characterise the complete supersymmetric spectrum about some notable \(\mathcal{N} = 2\) and \(\mathcal{N} = 3\) \(\mathrm{AdS}_4\) solutions in this class, which are dual to specific three-dimensional superconformal Chern-Simons field theories.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83E50 Supergravity
81T60 Supersymmetric field theories in quantum mechanics
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
58J28 Eta-invariants, Chern-Simons invariants

Software:

M-Theory

References:

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