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Supersymmetric solutions of 7D maximal gauged supergravity
High Energy Physics - Theory · Submitted 7 Oct 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The solutions with an $AdS_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups.
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The abstract, sentence by sentence
We study a number of supersymmetric solutions in the form of $Mkw_3\times S^3$- and $AdS_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. These solutions require non-vanishing three-form fluxes to support the $AdS_3$ and $S^3$ subspaces. We consider solutions with $SO(4)$, $SO(3)$, $SO(2)\times SO(2)$ and $SO(2)$ symmetries in $CSO(p,q,5-p-q)$, $CSO(p,q,4-p-q)$ and $SO(2,1)\ltimes \mathbf{R}^4$ gauge groups. All of these solutions can be analytically obtained. For $SO(5)$ and $CSO(4,0,1)$ gauge groups, the complete truncation ansatze in terms of eleven-dimensional supergravity on $S^4$ and type IIA theory on $S^3$ are known. We give the full uplifted solutions to eleven and ten dimensions in this case. The solutions with an $AdS_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups. For $SO(4)$ symmetric solutions, it is possible to find solutions with both the three-form fluxes and $SO(3)$ gauge fields turned on. However, in this case, the solutions can be found only numerically. For $SO(3)$ symmetric solutions, the three-form fluxes and $SO(3)$ gauge fields cannot be non-vanishing simultaneously.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study a number of supersymmetric solutions in the form of $Mkw_3\times S^3$- and $AdS_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. | contribution 1.00 | 0.93 | 0.13 | asserted 0.99 |
| s1 | These solutions require non-vanishing three-form fluxes to support the $AdS_3$ and $S^3$ subspaces. | result 0.96 | 0.54 | 0.08 | asserted 1.00 |
| s2 | We consider solutions with $SO(4)$, $SO(3)$, $SO(2)\times SO(2)$ and $SO(2)$ symmetries in $CSO(p,q,5-p-q)$, $CSO(p,q,4-p-q)$ and $SO(2,1)\ltimes \mathbf{R}^4$ gauge groups. | contribution 0.94 | 0.75 | 0.06 | asserted 0.99 |
| s3 | All of these solutions can be analytically obtained. | result 0.66 | 0.82 | 0.12 | asserted 0.99 |
| s4 | For $SO(5)$ and $CSO(4,0,1)$ gauge groups, the complete truncation ansatze in terms of eleven-dimensional supergravity on $S^4$ and type IIA theory on $S^3$ are known. | background 0.93 | 0.09 | 0.05 | asserted 1.00 |
| s5 | We give the full uplifted solutions to eleven and ten dimensions in this case. | contribution 0.88 | 0.92 | 0.10 | asserted 1.00 |
| s6 | The solutions with an $AdS_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups. | interpretation 1.00 | 0.53 | 0.20 | asserted 0.99 |
| s7 | For $SO(4)$ symmetric solutions, it is possible to find solutions with both the three-form fluxes and $SO(3)$ gauge fields turned on. | result 0.93 | 0.81 | 0.05 | hedged possibility 0.98 |
| s8 | However, in this case, the solutions can be found only numerically. | limitation 0.72 | 0.85 | 0.05 | asserted 0.88 |
| s9 | For $SO(3)$ symmetric solutions, the three-form fluxes and $SO(3)$ gauge fields cannot be non-vanishing simultaneously. | result 0.98 | 0.81 | 0.08 | asserted 1.00 |
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The paper
Original abstract
We study a number of supersymmetric solutions in the form of $Mkw_3\times S^3$- and $AdS_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. These solutions require non-vanishing three-form fluxes to support the $AdS_3$ and $S^3$ subspaces. We consider solutions with $SO(4)$, $SO(3)$, $SO(2)\times SO(2)$ and $SO(2)$ symmetries in $CSO(p,q,5-p-q)$, $CSO(p,q,4-p-q)$ and $SO(2,1)\ltimes \mathbf{R}^4$ gauge groups. All of these solutions can be analytically obtained. For $SO(5)$ and $CSO(4,0,1)$ gauge groups, the complete truncation ansatze in terms of eleven-dimensional supergravity on $S^4$ and type IIA theory on $S^3$ are known. We give the full uplifted solutions to eleven and ten dimensions in this case. The solutions with an $AdS_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups. For $SO(4)$ symmetric solutions, it is possible to find solutions with both the three-form fluxes and $SO(3)$ gauge fields turned on. However, in this case, the solutions can be found only numerically. For $SO(3)$ symmetric solutions, the three-form fluxes and $SO(3)$ gauge fields cannot be non-vanishing simultaneously.
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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Builds on it 1 paper
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For the $CSO(4,0,1)$ supergravity, numerous solutions were found in [ref] , all of which can be used to generate dual solutions by uplifting to type IIA on $S^3$ and to 11-dimensional supergravity via our EDA generalised frame.
Generalised U-dual solutions in supergravity · Discussion · 0.84
What it cites · 45 sentences without a confident label
Uses the method or tool of 4 papers
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In this work, we will mainly consider uplifted solutions from these two gauge groups using the truncation ansatze given in [ref] which are more useful for solutions involving two- and three-form fields in seven dimensions.
S^3 and S^4 Reductions of Type IIA Supergravity · Introduction · 1.00
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In this work, we will mainly consider uplifted solutions from these two gauge groups using the truncation ansatze given in [ref] which are more useful for solutions involving two- and three-form fields in seven dimensions.
Consistent nonlinear KK reduction of 11d supergravity on $AdS_7\times S_4$ and self-duality in odd dimensions · Introduction · 1.00
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Following [ref] , we choose the follwing gauge choice [equation] By setting $τ=0$, we can solve the BPS equations [ref] - [ref] and obtain the following solution, for $ρ=±1$, [equation] with $κ=-g/2$. $C$ is an integration constant in the solution for $ϕ$.
BPS objects in D=7 supergravity and their M-theory origin · $Mkw_3×S^3$-sliced domain walls · 0.97
Compares with 4 papers
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The constant $θ$ is given by [equation] As in the $SO(4,1)$ gauge group, it can be verified that for a given constant $θ$, this solution is the $SO(4)$ symmetric domain wall of $CSO(4,0,1)$ gauge group given in [ref] with a magnetic profile of a constant three-form flux.
Supersymmetric domain walls in 7D maximal gauged supergravity · $Mkw_3×S^3$-sliced domain walls · 0.80
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In the limit $r→0$, the solution is singular similar to the solution studied in [ref] .
BPS objects in D=7 supergravity and their M-theory origin · $Mkw_3×S^3$-sliced domain walls · 0.90
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It is also interesting to find a relation between the solution with $M_3=AdS_3$ and the $SO(2,2)×SO(4)×SO(4)$ symmetric solution studied in [ref] .
1/2-BPS states in M theory and defects in the dual CFTs · Uplift to eleven dimensions · 0.95
Cites as background 7 papers
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The reader is referred to [ref] for the detailed construction of the maximal gauged supergravity.
The maximal D=7 supergravities · Maximal gauged supergravity in seven dimensions · 0.99
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This type of solutions has originally been considered in the minimal $N=2$ gauged supergravity in [ref] , see also [ref] for similar solutions in the matter-coupled $N=2$ gauged supergravity.
Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity · Introduction · 0.80
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This type of solutions has originally been considered in the minimal $N=2$ gauged supergravity in [ref] , see also [ref] for similar solutions in the matter-coupled $N=2$ gauged supergravity.
BPS objects in D=7 supergravity and their M-theory origin · Introduction · 0.80
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