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Shadow multiplets in AdS_4/CFT_3 and the super-Higgs mechanism: hints of new shadow supergravities
High Energy Physics - Theory · Submitted 24 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This hints to the existence of new versions of extended supergravities, in particular N=4 where such upper bounds are evaded and where all possible vacua have a reduced supersymmetry N_0<N.
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The abstract, sentence by sentence
We discuss a general pairing that occurs in compactifications of M-theory on AdS_4 x X^7 backgrounds between massless ultra short multiplets and their massive shadows, namely certain universal long multiplets with fixed protected dimensions. In particular we consider the shadow of the short graviton multiplet in N=3 compactifications. It turns out to be a massive spin 3/2 multiplet with scale dimension E_0=3 and with the quantum numbers of a super-Higgs multiplet. Hence each N=3 AdS_4 x X^7 vacuum is actually to be interpreted as a spontaneously broken phase of an N=4 theory. Comparison with standard gauged N=4 supergravity in 4 dimensions reveals the unexpected bound E_0<3 on the dimension of the broken gravitino multiplet. This hints to the existence of new versions of extended supergravities, in particular N=4 where such upper bounds are evaded and where all possible vacua have a reduced supersymmetry N_0<N. We name them shadow supergravities. In particular, using arguments based on the solvable Lie algebra parametrization of the scalar manifold, we discuss the possible structure of shadow N=4 supergravity. Using our previous results on the SCFT dual of the AdS_4 x N^{0,1,0} vacuum we discuss the SCFT realization of the universal N=3 shadow multiplet. RG flows from an N=4 to an N=3 phase are ruled out by the fact that the N=4 vacuum is at infinite distance in moduli space, denoting the presence of a topology change.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss a general pairing that occurs in compactifications of M-theory on AdS_4 x X^7 backgrounds between massless ultra short multiplets and their massive shadows, namely certain universal long multiplets with fixed protected dimensions. | contribution 0.77 | 0.47 | 0.10 | asserted 1.00 |
| s1 | In particular we consider the shadow of the short graviton multiplet in N=3 compactifications. | contribution 0.96 | 0.63 | 0.04 | asserted 0.86 |
| s2 | It turns out to be a massive spin 3/2 multiplet with scale dimension E_0=3 and with the quantum numbers of a super-Higgs multiplet. | result 1.00 | 0.85 | 0.13 | asserted 1.00 |
| s3 | Hence each N=3 AdS_4 x X^7 vacuum is actually to be interpreted as a spontaneously broken phase of an N=4 theory. | interpretation 0.99 | 0.77 | 0.43 | asserted 0.99 |
| s4 | Comparison with standard gauged N=4 supergravity in 4 dimensions reveals the unexpected bound E_0<3 on the dimension of the broken gravitino multiplet. | result 0.98 | 0.72 | 0.10 | asserted 0.99 |
| s5 | This hints to the existence of new versions of extended supergravities, in particular N=4 where such upper bounds are evaded and where all possible vacua have a reduced supersymmetry N_0<N. | interpretation 0.99 | 0.58 | 0.42 | hedged possibility 0.90 |
| s6 | We name them shadow supergravities. | interpretation 0.50 | 0.83 | 0.13 | asserted 0.91 |
| s7 | In particular, using arguments based on the solvable Lie algebra parametrization of the scalar manifold, we discuss the possible structure of shadow N=4 supergravity. | contribution 0.56 | 0.85 | 0.05 | hedged possibility 0.78 |
| s8 | Using our previous results on the SCFT dual of the AdS_4 x N^{0,1,0} vacuum we discuss the SCFT realization of the universal N=3 shadow multiplet. | contribution 0.90 | 0.71 | 0.04 | asserted 0.78 |
| s9 | RG flows from an N=4 to an N=3 phase are ruled out by the fact that the N=4 vacuum is at infinite distance in moduli space, denoting the presence of a topology change. | result 0.76 | 0.68 | 0.09 | asserted 1.00 |
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Original abstract
We discuss a general pairing that occurs in compactifications of M-theory on AdS_4 x X^7 backgrounds between massless ultra short multiplets and their massive shadows, namely certain universal long multiplets with fixed protected dimensions. In particular we consider the shadow of the short graviton multiplet in N=3 compactifications. It turns out to be a massive spin 3/2 multiplet with scale dimension E_0=3 and with the quantum numbers of a super-Higgs multiplet. Hence each N=3 AdS_4 x X^7 vacuum is actually to be interpreted as a spontaneously broken phase of an N=4 theory. Comparison with standard gauged N=4 supergravity in 4 dimensions reveals the unexpected bound E_0<3 on the dimension of the broken gravitino multiplet. This hints to the existence of new versions of extended supergravities, in particular N=4 where such upper bounds are evaded and where all possible vacua have a reduced supersymmetry N_0<N. We name them shadow supergravities. In particular, using arguments based on the solvable Lie algebra parametrization of the scalar manifold, we discuss the possible structure of shadow N=4 supergravity. Using our previous results on the SCFT dual of the AdS_4 x N^{0,1,0} vacuum we discuss the SCFT realization of the universal N=3 shadow multiplet. RG flows from an N=4 to an N=3 phase are ruled out by the fact that the N=4 vacuum is at infinite distance in moduli space, denoting the presence of a topology change.
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References
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9 arXiv papers cite this in 14 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 5 papers
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In particular all the coset manifolds $𝒢/ℋ$ of weak $G_2$ holonomy were classified and studied in the Kaluza Klein supergravity age [ref] and they were extensively reconsidered in the context of the AdS/CFT correspondence [ref] .
Constrained Supermanifolds for AdS M-Theory Backgrounds · M-theory field equations and $7$-manifolds of weak $G_2$ holonomy i.e. Englert $7$-manifolds · 0.84
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The complete spectrum of this truncation has been found in [ref] , and a possible dual SCFT in the form of a Chern-Simons-Matter (CSM) theory has been proposed in [ref] , see also [ref] for a related holographic study of quantum Hall effect from this eleven-dimensional background.
New Janus interfaces from four-dimensional N=3 gauged supergravity · Introduction · 0.87
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The structure of $N=3$ multiplets and some properties of the dual SCFT have been studied in [ref] .
Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity · Introduction · 0.99
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