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Consistency of Kaluza-Klein Sphere Reductions of Symmetric Potentials

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M. Cvetic, H. Lu, C.N. Pope, A. Sadrzadeh

High Energy Physics - Theory · Submitted 7 Feb 2000

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

The authors' main claim Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.

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arXiv IDhep-th/0002056 (version 3)
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CitationA. Sadrzadeh, C.N. Pope, H. Lu, M. Cvetic. "Consistency of Kaluza-Klein Sphere Reductions of Symmetric Potentials." arXiv:hep-th/0002056 (2000). https://pith.science/paper/LFI7L3MW
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,484 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.84 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or type IIB supergravity. The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6 and 5. The embeddings were used for obtaining an interpretation of extremal D=4, 5 or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. Although strong supporting evidence for the correctness of the embedding Ansatze was presented, a full proof of the consistency was not given. Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.

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 In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or type IIB supergravity. background 0.98 0.09 0.06 asserted 1.00
s1 The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6 and 5. background 0.82 0.21 0.03 asserted 1.00
s2 The embeddings were used for obtaining an interpretation of extremal D=4, 5 or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. interpretation 0.49 0.30 0.03 asserted 1.00
s3 Although strong supporting evidence for the correctness of the embedding Ansatze was presented, a full proof of the consistency was not given. gap 0.99 0.14 0.04 asserted 0.97
s4 Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations. contribution 0.93 0.96 0.94 asserted 1.00

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

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  • references and citing sentences
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  • C citations
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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

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or type IIB supergravity. The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6 and 5. The embeddings were used for obtaining an interpretation of extremal D=4, 5 or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. Although strong supporting evidence for the correctness of the embedding Ansatze was presented, a full proof of the consistency was not given. Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.

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7 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

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  • More concretely, we started by using the fact that a dimensional reduction of Type IIB supergravity along the $S^5$ yields 5D $=8$ gauged supergravity [ref] , which is a consistent reduction of the full Type IIB supergravity on AdS$_5×S^5$ [ref] (the full non-linear reduction ansatzë for the AdS$_5×S^5$ compactification of IIB supergravity was worked out in [ref] ).

    Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets · Summary and Comments · 0.88

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