RECORD
Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
High Energy Physics - Theory · Submitted 11 Mar 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The cases studied provide new examples of the AdS/CFT duality involving twisted field theories.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged supergravity theories and then up-lift them to ten dimensions. In particular, we find solutions for field configurations with either non-Abelian fields or B-fields being excited. One of these solutions, in the massless case, is up-lifted to the massless type IIA string theory. This is the first example of such a kind. The cases studied provide new examples of the AdS/CFT duality involving twisted field theories.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. | contribution 0.99 | 0.96 | 0.30 | asserted 1.00 |
| s1 | We first obtain the solutions for the Romans' six-dimensional gauged supergravity theories and then up-lift them to ten dimensions. | method 0.99 | 0.94 | 0.07 | asserted 1.00 |
| s2 | In particular, we find solutions for field configurations with either non-Abelian fields or B-fields being excited. | result 0.89 | 0.95 | 0.08 | asserted 1.00 |
| s3 | One of these solutions, in the massless case, is up-lifted to the massless type IIA string theory. | result 0.88 | 0.93 | 0.11 | asserted 1.00 |
| s4 | This is the first example of such a kind. | contribution 0.42 | 0.57 | 0.09 | asserted 1.00 |
| s5 | The cases studied provide new examples of the AdS/CFT duality involving twisted field theories. | interpretation 0.80 | 0.72 | 0.63 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged supergravity theories and then up-lift them to ten dimensions. In particular, we find solutions for field configurations with either non-Abelian fields or B-fields being excited. One of these solutions, in the massless case, is up-lifted to the massless type IIA string theory. This is the first example of such a kind. The cases studied provide new examples of the AdS/CFT duality involving twisted field theories.
Human review
References
How the literature uses it
38 arXiv papers cite this in 63 sentences
Papers citing it · 37 sentences without a confident label
Contests it 1 paper
-
Beware, however, that the fixed point $S^2$ configurations are not solutions to the supersymmetry conditions nor the equations of motion[One of the components of the gravitino supersymmetry equation (component $μ=6$ in the case of an internal sphere, and component $μ=5$ for the hyperboloid) gives rise to an extra supersymmetry condition, $a g = 1$, not explicitly written in [ref] .
Lifshitz solutions in supergravity and string theory · $Li_4$ solutions in massive Type IIA via 6D · contest 0.81
Builds on it 1 paper
-
This could presumably give rise to more general solutions than those given in [ref] .
Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity · Introduction · 0.96
Uses its method or tool 2 papers
-
An elegant solution to this, as pioneered in [ref] and applied to constructing supergravity solutions by [ref] , is to set the gauge field to be equal to the spin connection on the cycle — the twist, so that the Killing spinor equation admits covariantly constant spinors.
Wrapped NS5-Branes, Consistent Truncations and In\"on\"u-Wigner Contractions · Introduction · 0.85
-
The analysis of unbroken supersymmetry can be done in a similar manner to that given in [ref] .
Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity · $N=(1,1)$ two-dimensional SCFTs with $SO(3)$ symmetry · 0.93
Uses its data or values 1 paper
-
for the $N=4^g$ class of the six-dimensional Romans theory [ref] , following the classification in Ref. [ref] , the coupling of the 3-form and of the 2-form field strengths to the dilaton are given by $ϵ_rc_r=-√(2)$, $ϵ_sc_s=1/√(2)$, respectively.
Cosmology in p-brane systems · The case of $1/N_r+1/N_s≠1/4$ · 0.80
Compares with it 2 papers
-
As an example, we give some $AdS_4$ solutions with a particular value of $b=2a$ as follow: [equation] and [equation] It can also be readily verified that, by making a truncation $ϕ_2=0$ and $b=0$, we find only $AdS_4×H^2$ solution in agreement with the results of [ref] .
Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity · $N=2$ three-dimensional SCFTs with $SO(2)×SO(2)$ symmetry · 0.91
-
In particular, for $n_+=n_-=1$, we should find the extremization performed in [ref] which calculates the holographic free energy of $AdS_4×Σ_𝔤$ solutions with a topological twist on the Riemann surface of genus, $𝔤$, [ref] , and we have $ξ_I𝔭^I=2P_+$ and $σ=+1$.
Equivariant localization for wrapped M5-branes and D4-branes · The free energy · 0.93
Cites it as background 19 papers
-
This configuration was first discussed in [ref] , we review it here in our conventions.
Holographic description of SCFT$_5$ compactifications · AdS$_6 →$ AdS$_4×H_2$ · 0.88
-
Among these, holographic descriptions of twisted compactifications to lower-dimensional SCFTs [ref] , as initiated in [ref] , and different types of conformal defects [ref] have recently attracted much attention.
Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity · Introduction · 0.84
-
One class of such developments involves solutions with branes wrapped on internal cycles [ref] , while another considers D-brane configurations at the tip of deformed Calabi–Yau singularities [ref] .
Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications · Introduction and organization of the paper · 0.97
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.