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Mendeley readers
Attention Score in Context
| Title |
Spacelike Singularities and Hidden Symmetries of Gravity
|
|---|---|
| Published in |
Living Reviews in Relativity, April 2008
|
| DOI | 10.12942/lrr-2008-1 |
| Pubmed ID | |
| Authors |
Marc Henneaux, Daniel Persson, Philippe Spindel |
| Abstract |
We review the intimate connection between (super-)gravity close to a spacelike singularity (the "BKL-limit") and the theory of Lorentzian Kac-Moody algebras. We show that in this limit the gravitational theory can be reformulated in terms of billiard motion in a region of hyperbolic space, revealing that the dynamics is completely determined by a (possibly infinite) sequence of reflections, which are elements of a Lorentzian Coxeter group. Such Coxeter groups are the Weyl groups of infinite-dimensional Kac-Moody algebras, suggesting that these algebras yield symmetries of gravitational theories. Our presentation is aimed to be a self-contained and comprehensive treatment of the subject, with all the relevant mathematical background material introduced and explained in detail. We also review attempts at making the infinite-dimensional symmetries manifest, through the construction of a geodesic sigma model based on a Lorentzian Kac-Moody algebra. An explicit example is provided for the case of the hyperbolic algebra E10, which is conjectured to be an underlying symmetry of M-theory. Illustrations of this conjecture are also discussed in the context of cosmological solutions to eleven-dimensional supergravity. |
Mendeley readers
The data shown below were compiled from readership statistics for 36 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| India | 2 | 6% |
| United Kingdom | 1 | 3% |
| Spain | 1 | 3% |
| China | 1 | 3% |
| Unknown | 31 | 86% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 11 | 31% |
| Researcher | 7 | 19% |
| Professor | 5 | 14% |
| Student > Master | 4 | 11% |
| Other | 2 | 6% |
| Other | 4 | 11% |
| Unknown | 3 | 8% |
| Readers by discipline | Count | As % |
|---|---|---|
| Physics and Astronomy | 24 | 67% |
| Mathematics | 4 | 11% |
| Engineering | 2 | 6% |
| Psychology | 1 | 3% |
| Unknown | 5 | 14% |
Attention Score in Context
This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 15 December 2021.
All research outputs
#7,425,026
of 22,699,621 outputs
Outputs from Living Reviews in Relativity
#113
of 144 outputs
Outputs of similar age
#28,211
of 80,914 outputs
Outputs of similar age from Living Reviews in Relativity
#3
of 3 outputs
Altmetric has tracked 22,699,621 research outputs across all sources so far. This one is in the 44th percentile – i.e., 44% of other outputs scored the same or lower than it.
So far Altmetric has tracked 144 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 15.2. This one is in the 10th percentile – i.e., 10% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 80,914 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 18th percentile – i.e., 18% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 3 others from the same source and published within six weeks on either side of this one.