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New Compactifications of Eleven Dimensional Supergravity

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Ali Imaanpur

High Energy Physics - Theory · Submitted 7 May 2012

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

The authors' main claim As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber.

how it is stated · asserted 1.00 read the record →

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arXiv ID1205.1349 (version 4)
Pith IDB357HPFO, Pith's permanent record of this paper and its review
CitationAli Imaanpur. "New Compactifications of Eleven Dimensional Supergravity." arXiv:1205.1349 (2012). https://pith.science/paper/B357HPFO
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,701 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.75 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, we present yet more general ansatze. As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7 type in Euclidean space.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions. method 0.64 0.93 0.11 asserted 1.00
s1 Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, we present yet more general ansatze. method 0.75 0.94 0.05 asserted 1.00
s2 As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber. result 0.99 0.97 0.55 asserted 1.00
s3 We also find a new solution of AdS_2\times H^2\times S^7 type in Euclidean space. result 0.99 0.96 0.12 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, we present yet more general ansatze. As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7 type in Euclidean space.

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How the literature uses it

3 arXiv papers cite this in 10 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

Builds on it 1 paper
  • In this note, we extend the construction of [ref] to the case of compact manifold $N(1,1)$, and use the twistor space language to describe it as $U(1)$ bundle over a base which itself is an $S^2$ bundle on $CP^2$; the flag manifold.

    Type IIB flux compactifications on twistor bundles · Introduction · 1.00

Uses its method or tool 1 paper
  • As in [ref] , it also proves useful to define the following self-dual 2-forms R_1 = sin_1 (e^01+e^23) -cos_1(e^02+e^31) , R_2 = cosþ_1cos_1 (e^01+e^23)+ cosþ_1 sin_1 (e^02+e^31)-sinþ_1 (e^03+e^12) , K = sinþ_1cos_1 (e^01+e^23)+ sinþ_1 sin_1 (e^02+e^31)+cosþ_1 (e^03+e^12) , where we have used the shorthand notation $e^ij=e^ie^j$.

    An $S^3\times S^3$ bundle over $S^4$ and new supergravity solutions · The ansatz for $F_4$ · 0.98

What it cites · 3 sentences without a confident label

Cites as background 1 paper

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