$$ \mathcal{N} $$ = 1 S-fold spectroscopy

Abstract

We analyse the spectrum of Kaluza-Klein excitations above three distinct families of $$ \mathcal{N} $$ N = 1 AdS4 solutions of type IIB supergravity of typically non-geometric, S-fold type that have been recently found. For all three families, we provide the complete algebraic structure of their spectra, including the content of OSp(4|1) multiplets at all Kaluza-Klein levels and their charges under the residual symmetry groups. We also provide extensive results for the multiplet dimensions using new methods derived from exceptional field theory, including complete, analytic results for one of the families. All three spectra show periodicity in the moduli that label the corresponding family of solutions. Finally, the compactness of these moduli is verified in some cases at the level of the fully-fledged type IIB uplifted solutions.

New supersymmetric string theories from discrete theta angles

“…Only for these conjugacy classes it is possible to compactify on a circle with duality monodromy. This has been recently used in lower-dimensional compactifications to produce new IIB backgrounds and associated dual CFT's [69][70][71][72][73], but in nine dimensions these monodromies do not preserve any supercharges [19,21]. Therefore, we now move to monodromies with det h = −1.…”

Cubic and higher-order supergravity couplings for AdS vacua using Exceptional Field Theory

“…This, in particular, includes vacua with little or no (super-)symmetry, and has yielded interesting insights. For example, the recent work on KK spectra has revealed that there infinitely-many unprotected operators whose conformal dimensions are finite even at strong coupling [11,12], that certain conformal manifolds are compact, even though this is not apparent from studying the holographic duals JHEP05(2024)214 within a consistent truncation [13][14][15][16], that non-supersymmetric AdS vacua that are stable within a consistent truncation can nonetheless be perturbatively unstable due to higher KK modes that do not form part of the consistent truncation [17], and that there are several examples of isolated and continuous families of non-supersymmetric AdS vacua that are perturbatively stable within the full 10-dimensional supergravity [14,[18][19][20][21].…”

Kaluza-Klein spectrometry beyond consistent truncations: the squashed S7

“…These techniques, for the first time, have given access fo the full Kaluza-Klein spectrum for warped compactifications with few or no remaining (super-)symmetries [3,4,[6][7][8][9][10][11][12][13][14][15] and led to many interesting insights. For supersymmetric AdS vacua, the protected part of the Kaluza-Klein spectrum can be matched with the superconformal index of the CFT, as was done for the Pilch-Warner AdS 5 vacuum in [10] and for the SU(3) × U(1)-invariant AdS 4 vacuum in N = 8 SUGRA in [4,16].…”

“…For supersymmetric AdS vacua, the protected part of the Kaluza-Klein spectrum can be matched with the superconformal index of the CFT, as was done for the Pilch-Warner AdS 5 vacuum in [10] and for the SU(3) × U(1)-invariant AdS 4 vacuum in N = 8 SUGRA in [4,16]. Moreover, the Kaluza-Klein spectrum can be used to determine compactness of the conformal manifold, which may not be visible in the consistent truncation [14,15], see also [17]. For non-supersymmetric vacua that are perturbatively stable within the consistent truncation, [6] showed that instabilities can be nonetheless triggered from higher Kaluza-Klein modes.…”