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M-Brane Models and Loop Spaces
High Energy Physics - Theory · Submitted 3 Jun 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Loop spaces appear in fact quite naturally in M-brane models.
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The abstract, sentence by sentence
I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | I review an extension of the ADHMN construction of monopoles to M-brane models. | contribution 0.90 | 0.51 | 0.08 | asserted 0.80 |
| s1 | This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. | result 0.76 | 0.75 | 0.53 | asserted 1.00 |
| s2 | Loop spaces appear in fact quite naturally in M-brane models. | interpretation 0.46 | 0.23 | 0.20 | asserted 0.98 |
| s3 | This is demonstrated by translating a recently proposed M5-brane model to loop space. | method 0.49 | 0.78 | 0.12 | asserted 1.00 |
| s4 | Finally, I comment on some recent developments related to the loop space approach to M-brane models. | future work 0.75 | 0.42 | 0.05 | unclear 0.89 |
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The paper
Original abstract
I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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Other approaches use more sophisticated mathematical tools such as higher gauge theories, twistor spaces and gerbes [ref] .
Duality-symmetric actions for non-Abelian tensor fields · Introduction · 0.93
What it cites · 12 sentences without a confident label
Cites as support 1 paper
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First of all, the notion of a monopole bag together with the associated Nahm construction have been lifted to M-theory [ref] .
Magnetic Domains · Summary and recent developments · 0.99
Cites as background 2 papers
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Here, we will restrict ourselves to abelian local or Hitchin-Chatterjee gerbes, see e.g. [ref] for more details.
Lectures on generalized geometry · Abelian gerbes · 0.98
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For a comprehensive review of M2-brane models, see [ref] .
Multiple Membranes in M-theory · Introduction and results · 0.97
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