Abstract
Exceptional field theories yield duality-covariant formulations of higher-dimensional supergravity. They have proven to be an efficient tool for the construction of consistent truncations around various background geometries. In this paper, we demonstrate how the formalism can moreover be turned into a powerful tool for computing the Kaluza-Klein mass spectra around these backgrounds. Most of these geometries have little to no remaining symmetries and their spectra are accessible to standard methods only in selected subsectors. The present formalism not only grants access to the full Kaluza-Klein spectra but also provides the scheme to identify the resulting mass eigenstates in higher dimensions. As a first illustration, we rederive in compact form the mass spectrum of IIB supergravity on $S^5$. We further discuss the application of our formalism to determine the mass spectra of higher Kaluza-Klein multiplets around the warped geometries corresponding to some prominent ${\cal N}=2$ and ${\cal N}=0$ AdS vacua in maximal supergravity.
Highlights
Whenever a higher-dimensional theory is compactified, towers of infinitely many massive fields arise in the lowerdimensional theory
We demonstrate how the formalism can be turned into a powerful tool for computing the Kaluza-Klein mass spectra around these backgrounds
Most of these geometries have little to no remaining symmetries and their spectra are accessible to standard methods only in selected subsectors
Summary
Whenever a higher-dimensional theory is compactified, towers of infinitely many massive fields arise in the lowerdimensional theory. Field theory (ExFT), which allows us to compute the full Kaluza-Klein spectrum for any vacuum of a maximal gauged supergravity arising from a consistent truncation of 10- or 11-dimensional supergravity. This includes vacua with few or no (super)symmetries, whose Kaluza-Klein spectra were previously inaccessible. The ansatz is nonlinear in the fields of the lower-dimensional supergravity multiplet Due to this nonlinearity, it is straightforward to compute the Kaluza-Klein spectrum for any vacuum of the lowerdimensional supergravity arising from the consistent truncation. (iii) reviewing the computation of [12] of the KaluzaKlein spectrum of the nonsupersymmetric SOð3Þ× SOð3Þ-invariant AdS4 vacuum of 11-dimensional supergravity, and the appearance of tachyonic scalars at higher Kaluza-Klein levels.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
