On Supersymmetric Flux Solutions of M-theory

Krzysztof Pilch; Nicholas P. Warner; Nick Halmagyi

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On Supersymmetric Flux Solutions of M-theory

Nick Halmagyi, Krzysztof Pilch, Nicholas P. Warner

High Energy Physics - Theory · Submitted 18 Jul 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find a single new solution with non-trivial internal flux and the topology of S^7.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.91 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.74 · compares with prior results 0.75 · mentions code or data availability 0.02.

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Motivated by the geometric structures of supersymmetric holographic RG-flows, we scan for N=2 AdS_4 solutions in M-theory. One particularly well understood holographic RG flow in M-theory is dual to a mass deformation of the N=8 Chern-Simons theory. We utilize an Ansatz which is a natural generalization of this background in our scan. We find a single new solution with non-trivial internal flux and the topology of S^7. Interestingly, despite our Ansatz being quite general, within our system we rule out solutions with internal flux on more general Sasaki-Einstein seven manifolds.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by the geometric structures of supersymmetric holographic RG-flows, we scan for N=2 AdS_4 solutions in M-theory.	contribution 0.74	0.82	0.04	asserted 0.82
s1	One particularly well understood holographic RG flow in M-theory is dual to a mass deformation of the N=8 Chern-Simons theory.	background 1.00	0.05	0.03	asserted 1.00
s2	We utilize an Ansatz which is a natural generalization of this background in our scan.	method 0.99	0.86	0.03	asserted 0.99
s3	We find a single new solution with non-trivial internal flux and the topology of S^7.	result 1.00	0.97	0.67	asserted 1.00
s4	Interestingly, despite our Ansatz being quite general, within our system we rule out solutions with internal flux on more general Sasaki-Einstein seven manifolds.	result 0.95	0.95	0.37	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.93.

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The paper

Original abstract

Motivated by the geometric structures of supersymmetric holographic RG-flows, we scan for N=2 AdS_4 solutions in M-theory. One particularly well understood holographic RG flow in M-theory is dual to a mass deformation of the N=8 Chern-Simons theory. We utilize an Ansatz which is a natural generalization of this background in our scan. We find a single new solution with non-trivial internal flux and the topology of S^7. Interestingly, despite our Ansatz being quite general, within our system we rule out solutions with internal flux on more general Sasaki-Einstein seven manifolds.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

N=2 supersymmetric AdS_4 solutions of M-theory
hep-th 2012-07 accept novelty 7.0 of 10

The most general N=2 supersymmetric AdS_4 backgrounds of M-theory are classified via a local SU(2)-structure, and a new warped AdS_4 x S^7 solution dual to a cubic deformation is found numerically.
Supersymmetric Janus Solutions in Four Dimensions
hep-th 2013-11 conditional novelty 6.0 of 10

Three families of supersymmetric Janus solutions in four-dimensional N=8 gauged supergravity are constructed, including an argued interface between two distinct G2-symmetric N=1 fixed points carrying opposite internal...
Electric/magnetic duality and RG flows in AdS4/CFT3
hep-th 2013-11 conditional novelty 6.0 of 10

For a one-parameter family of SO(8)-gauged supergravities, the authors classify all supersymmetric domain walls between AdS critical points with at least SU(3) symmetry, finding three distinct flow patterns as the dyo...
3D Supergravity from wrapped D3-branes
hep-th 2013-07 conditional novelty 4.0 of 10

Wrapped-D3-brane AdS3 solutions are matched to three-dimensional gauged supergravities whose T tensor reproduces the exact central charge and R symmetry via c-extremization.

How the literature uses it

8 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Compares with it 2 papers

In comparison with various RG flows and $AdS_4$ solutions,[See for example [ref] and the references therein.] a novel feature is the presence of an $SU(2)$ rotation [ref] in the $(rμθ)$-subspace as opposed to a simpler $U(1)$ rotation in the $(μθ)$-subspace.

Supersymmetric Janus Solutions in Four Dimensions · Supersymmetry · 0.91
Note: shortly after submitting this paper to the arXiv, the paper [ref] appeared, which contains a supersymmetric solution that appears to coincide with the solution we present in section [ref].

N=2 supersymmetric AdS_4 solutions of M-theory · Introduction · 0.99

Cites it as background 2 papers

Outside of this class very few solutions are known in M-theory [ref] .

A massive class of $\mathcal{N} = 2$ AdS$_4$ IIA solutions · Introduction · 0.89
Supersymmetric conditions have played an important role in identifying supersymmetric solutions in various supergravity theories, such as [ref] (see also [ref] for more recent work).

New $G_2$-invariant supersymmetric AdS$_4$ vacua in 11d supergravity and holography · Introduction · 0.99

What it cites · 15 sentences without a confident label

Builds on 1 paper

It appears as a single, isolated regular solution in a broad class that generalizes the CPW solution [ref] .

An N = 2 Supersymmetric Membrane Flow · Discussion · 0.82

Uses the method or tool of 2 papers

Following [ref] , we assume that the internal components of the three-form potential are proportional to the holomorphic $(2,0)$ form, $Ω$:

An N = 2 Supersymmetric Membrane Flow · The Background · 0.92
Using techniques similar to [ref] , we require that $1/4$-supersymmetry is preserved.

A Family of M-theory Flows with Four Supersymmetries · The Supersymmetry Projectors · 1.00

Compares with 8 papers

We reproduce the known analytic solution and produce a new solution with the topology of $S^7$. 3mm Note added: While preparing this paper for submission we became aware of the work [ref] which may have some overlap with our paper.

N=2 supersymmetric AdS_4 solutions of M-theory · Introduction · 0.95
The round $S^5$ solution is S(ρ)=ρ , H(ρ)=1 , and solution of [ref] corresponds to S(ρ)=ρ√(2-ρ^2/2) , H(ρ)=2-34ρ^2 .

A New Supersymmetric Compactification of Chiral IIB Supergravity · Discussion · 0.93
Indeed, there is a similarity between the equations SHeqs we have studied here and the general study of $AdS_5$ solutions of IIB supergravity in [ref] .

Supersymmetric AdS_5 Solutions of Type IIB Supergravity · Discussion · 0.91

Cites as background 8 papers

An infinite class of non-homogeneous but explicitly known Sasaki-Einstein metrics (referred to here as the GMSW solutions) was constructed in [ref] and this class of explicit $SE_7$ metrics was further enlarged in [ref] .

A New Infinite Class of Sasaki-Einstein Manifolds · Introduction · 0.83
An infinite class of non-homogeneous but explicitly known Sasaki-Einstein metrics (referred to here as the GMSW solutions) was constructed in [ref] and this class of explicit $SE_7$ metrics was further enlarged in [ref] .

A Note on Einstein Sasaki Metrics in D \ge 7 · Introduction · 0.83
Our understanding of holographic field theories in three dimensions was taken to a much higher level by fundamental developments on the gauge theory side [ref] and this stimulated development and analysis of gravity duals in M theory.

Gauge Symmetry and Supersymmetry of Multiple M2-Branes · Introduction · 0.95

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