Abstract
Exceptional field theories yield duality covariant formulations of supergravity. We show that they provide a highly efficient tool to compute the Kaluza-Klein mass spectra associated with compactifications around various background geometries relevant for string theory and holographic applications. This includes geometries with little to no remaining symmetries, hardly accessible to standard methods. As an illustration, we determine the masses of some higher Kaluza-Klein multiplets around warped geometries corresponding to some prominent N=2 supersymmetric anti-de Sitter vacua in maximal supergravity.
Highlights
An old and central problem in theories with extra dimensions is the determination of the mass spectrum of higher-dimensional fluctuations around a given compactification background
We determine the masses of some higher Kaluza-Klein multiplets around warped geometries corresponding to some prominent N 1⁄4 2 supersymmetric anti–de Sitter vacua in maximal supergravity
For manifolds with large isometry group and preserving major fractions of supersymmetry, fluctuations organize themselves intoshort multiplets of the superalgebra of background isometries, such that the internal harmonics are controlled by group theory, and the mass eigenvalues are essentially determined by the residual quantum numbers
Summary
An old and central problem in theories with extra dimensions is the determination of the mass spectrum of higher-dimensional fluctuations around a given compactification background. Computation of Kaluza-Klein mass spectra, in general, is a highly nontrivial problem, which requires linearization and diagonalization of the higher-dimensional field equations expanded in terms of the eigenmodes of suitable Laplacian operators on the internal manifold.
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