RECORD
Moduli Spaces and Brane Solitons for M-Theory Compactifications on Holonomy G_2 Manifolds
High Energy Physics - Theory · Submitted 11 Apr 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We then find some brane solitons of N=1, D=4 supergravity that are associated with wrapping M-branes on cycles of the compact space.
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 investigate the local geometry on the moduli space of G_2 structures that arises in compactifications of M-theory on holonomy G_2 manifolds. In particular, we determine the homogeneity properties of couplings of the associated N=1, D=4 supergravity under the scaling of moduli space coordinates. We then find some brane solitons of N=1, D=4 supergravity that are associated with wrapping M-branes on cycles of the compact space. These include cosmic strings and domain walls that preserve half of supersymmetry of the four-dimensional theory, and non-supersymmetric electrically and magnetically charged black holes. The geometry of some of the black holes is that of non-extreme M-brane configurations reduced to four-dimensions on a seven torus.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the local geometry on the moduli space of G_2 structures that arises in compactifications of M-theory on holonomy G_2 manifolds. | contribution 0.96 | 0.89 | 0.07 | asserted 0.88 |
| s1 | In particular, we determine the homogeneity properties of couplings of the associated N=1, D=4 supergravity under the scaling of moduli space coordinates. | contribution 0.57 | 0.94 | 0.16 | asserted 1.00 |
| s2 | We then find some brane solitons of N=1, D=4 supergravity that are associated with wrapping M-branes on cycles of the compact space. | contribution 0.59 | 0.96 | 0.17 | asserted 1.00 |
| s3 | These include cosmic strings and domain walls that preserve half of supersymmetry of the four-dimensional theory, and non-supersymmetric electrically and magnetically charged black holes. | result 0.92 | 0.90 | 0.18 | asserted 1.00 |
| s4 | The geometry of some of the black holes is that of non-extreme M-brane configurations reduced to four-dimensions on a seven torus. | result 0.92 | 0.71 | 0.11 | asserted 0.98 |
What was examined, and what was not
- arXiv listing abstract v3
- 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 investigate the local geometry on the moduli space of G_2 structures that arises in compactifications of M-theory on holonomy G_2 manifolds. In particular, we determine the homogeneity properties of couplings of the associated N=1, D=4 supergravity under the scaling of moduli space coordinates. We then find some brane solitons of N=1, D=4 supergravity that are associated with wrapping M-branes on cycles of the compact space. These include cosmic strings and domain walls that preserve half of supersymmetry of the four-dimensional theory, and non-supersymmetric electrically and magnetically charged black holes. The geometry of some of the black holes is that of non-extreme M-brane configurations reduced to four-dimensions on a seven torus.
Human review
References
How the literature uses it
12 arXiv papers cite this in 20 sentences
Papers citing it · 9 sentences without a confident label
Uses its method or tool 1 paper
-
Here we follow [ref] , [ref] and [ref] .
Local geometry of the G2 moduli space · $G_2$ manifolds in $M$-theory · 0.92
Compares with it 3 papers
-
Here we follow [ref] , but in [ref] and [ref] , in particular, a different convention is used.
Local geometry of the G2 moduli space · Moduli space · 0.85
-
For example, in the $2$ case that we will discuss in section [ref], this reduces to the known result that the Kähler potential $𝒦̃=-3log∫_M$ describes the coupling of moduli in the four-dimensional effective theory, where $$ is determined by the $2$ structure [ref] .
Generalising G$_\text{2}$ geometry: involutivity, moment maps and moduli · Supersymmetry and integrability · 0.88
-
However in physics literature, in particular by Beasley and Witten in [ref] and by Gutowski and Papadopoulos in [ref] , the potential $K$ given by [equation] has been used instead.
Moduli spaces of G2 manifolds · Geometry of the moduli space · 0.83
Cites it as background 7 papers
-
Attempts to formulate the theory in 4D have been done mainly in the supergravity approach [ref] , including fluxes [ref] , but so far no exact formulation has been found.
The Minimally Immersed 4D Supermembrane · Introduction · 0.99
-
The properties of $G_2$-structures in supergravity compactifications have been studied in both mathematical and physical literature, but for different details of the theory [ref] .
G2-structures for N=1 supersymmetric AdS4 solutions of M-theory · Introduction · 0.99
-
Attempts to formulate the theory in 4D have been done in the supergravity approach [ref] , including fluxes [ref] , but so far no exact formulation has been found.
N=1 4D Supermembrane from 11D · Introduction · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.