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Supersymmetric spectroscopy on AdS$_4\times S^7$ and AdS$_4\times S^6$
High Energy Physics - Theory · Submitted 24 Mar 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class.
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The abstract, sentence by sentence
New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. | background 0.99 | 0.06 | 0.04 | asserted 1.00 |
| s1 | These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. | background 0.99 | 0.07 | 0.04 | asserted 1.00 |
| s2 | In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. | contribution 0.91 | 0.96 | 0.64 | asserted 1.00 |
| s3 | These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. | result 0.98 | 0.77 | 0.07 | asserted 1.00 |
| s4 | Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class. | interpretation 0.79 | 0.74 | 0.60 | asserted 1.00 |
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The paper
Original abstract
New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class.
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References
How the literature uses it
14 arXiv papers cite this in 16 sentences
Papers citing it · 12 sentences without a confident label
Compares with it 2 papers
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We are not aware of the presence of this type of CHIRAL multiplets in the KK spectra [ref] of other $=1$ AdS$_4$ solutions of M-theory or type IIA that uplift from $D=4$ $=8$ supergravity.
$\mathcal{N}=1$ S-fold spectroscopy · Discussion · 0.96
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These features make the M5-brane spectral cases in this paper and in [ref] significantly differ from those previously treated with these ExFT techniques in, for example, [ref] .
Kaluza-Klein trombone mass matrices and universal class $\mathcal{R}$ operator spectra · Discussion · 0.98
Cites it as background 2 papers
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These new ExFT-based KK spectral techniques have now been employed in a variety of cases [ref] .
The spectrum of marginally-deformed ${\cal N} = 2$ CFTs with AdS$_4$ S-fold duals of type IIB · Introduction · 0.88
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See [ref] for a related discussion.
$\mathcal{N}=1$ S-fold spectroscopy · Discussion · 0.93
What it cites · 92 sentences without a confident label
Uses the method or tool of 11 papers
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We will diagonalise the mass matrices for the KK perturbations above this type of solutions as given in [ref] .
Universal properties of Kaluza-Klein gravitons · Introduction · 0.91
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We will diagonalise the mass matrices for the KK perturbations above this type of solutions as given in [ref] .
Kaluza-Klein Spectrometry for Supergravity · Introduction · 0.91
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We will diagonalise the mass matrices for the KK perturbations above this type of solutions as given in [ref] .
Super-Chern-Simons spectra from Exceptional Field Theory · Introduction · 0.91
Compares with 10 papers
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This makes apparent the equivalence between the two vector mass matrices ([ref]) and ([ref]), and also the equivalence to (4.31) of [ref] .
Kaluza-Klein Spectrometry from Exceptional Field Theory · Kaluza-Klein mass matrices · 0.93
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For example, in the KK spectrum of the $=2$ or $=1$ SU(3)–invariant solutions [ref] , all the individual states within a given OSp$(4|)$ supermultiplet have the same charges under SU(3) (as of course they must).
Kaluza-Klein fermion mass matrices from Exceptional Field Theory and ${\cal N} =1$ spectra · $D=11$ solution with $SO(3)$ symmetry · 0.93
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For example, in the KK spectrum of the $=2$ or $=1$ SU(3)–invariant solutions [ref] , all the individual states within a given OSp$(4|)$ supermultiplet have the same charges under SU(3) (as of course they must).
Super-Chern-Simons spectra from Exceptional Field Theory · $D=11$ solution with $SO(3)$ symmetry · 0.93
Cites as background 23 papers
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In this paper we will focus on $D=11$ [ref] and massive type IIA [ref] supersymmetric solutions of the form AdS$_4 ×_w S^7$ and AdS$_4 ×_w S^6$, that uplift consistently [ref] from critical points of $D=4$ $=8$ supergravity [ref] with SO(8) [ref] and dyonic ISO(7) [ref] gaugings, respectively.
Dyonic ISO(7) supergravity and the duality hierarchy · Introduction · 0.85
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In this paper we will focus on $D=11$ [ref] and massive type IIA [ref] supersymmetric solutions of the form AdS$_4 ×_w S^7$ and AdS$_4 ×_w S^6$, that uplift consistently [ref] from critical points of $D=4$ $=8$ supergravity [ref] with SO(8) [ref] and dyonic ISO(7) [ref] gaugings, respectively.
Consistent ${\cal N}=8$ truncation of massive IIA on $S^6$ · Introduction · 0.85
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In this paper we will focus on $D=11$ [ref] and massive type IIA [ref] supersymmetric solutions of the form AdS$_4 ×_w S^7$ and AdS$_4 ×_w S^6$, that uplift consistently [ref] from critical points of $D=4$ $=8$ supergravity [ref] with SO(8) [ref] and dyonic ISO(7) [ref] gaugings, respectively.
The string origin of dyonic ${\cal N}=8$ supergravity and its simple Chern-Simons duals · Introduction · 0.85
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