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The Effective Action of N=8 Supergravity

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Renata Kallosh

High Energy Physics - Theory · Submitted 14 Nov 2007

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

The authors' main claim By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams.

how it is stated · asserted 1.00 read the record →

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arXiv ID0711.2108 (version 1)
Pith ID73OL2C2A, Pith's permanent record of this paper and its review
CitationRenata Kallosh. "The Effective Action of N=8 Supergravity." arXiv:0711.2108 (2007). https://pith.science/paper/73OL2C2A
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,614 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.44 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams. The absence of bubbles implies the absence of conformal and axial anomalies. We also show that the 1-loop effective action of N=8 supergravity features a "dual" conformal symmetry in the momentum 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 We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. contribution 0.96 0.95 0.28 asserted 1.00
s1 By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams. result 0.79 0.94 0.37 asserted 1.00
s2 The absence of bubbles implies the absence of conformal and axial anomalies. interpretation 0.96 0.72 0.17 asserted 1.00
s3 We also show that the 1-loop effective action of N=8 supergravity features a "dual" conformal symmetry in the momentum space. result 0.97 0.94 0.15 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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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

We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams. The absence of bubbles implies the absence of conformal and axial anomalies. We also show that the 1-loop effective action of N=8 supergravity features a "dual" conformal symmetry in the momentum space.

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References
How the literature uses it

10 arXiv papers cite this in 15 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 · 11 sentences without a confident label

Uses its data or values 1 paper
  • For the 1-loop UV finite amplitude [ref] we take according to [ref] , [ref] P^1-loop (1^+, 2^+, 3^+, 4^+)= P^3_UV F^box where $P^3_UV$ is dimensionless P^3_UV (1^+, 2^+, 3^+, 4^+)= ( s_12 s_14 ⟨1 2⟩⟨23⟩⟨34⟩⟨41⟩)^2.

    N=8 Supergravity 4-point Amplitudes · The 4-point generating function in =8 SG · 0.89

Cites it as support 1 paper
  • Our observation that the UV divergent terms in the S-matrix in different gauges are incompatible with each other leads to a prediction that the perturbative =8 supergravity amplitudes are all-loop finite, if there are no anomalies.[The recent proof of the no-triangle conjecture in [ref] , [ref] may be an indication of the absence of anomalies as suggested in [ref] .

    On a possibility of a UV finite N=8 supergravity · All-loop argument for the $n$-particle UV finiteness · 1.00

Cites it as background 2 papers
  • Any one-loop amplitude may be expressed both as a sum over Feynman diagrams, and also in terms of scalar box integrals[For a superspace effective action perspective on one-loop amplitudes, see [ref] .]:

    On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity · One-Loop Amplitudes in $N=4$ SYM and $N=8$ Supergravity · 0.94

  • There are several indications that maximal supergravity may be an extraordinarily remarkable theory [ref] , and possibly even ultraviolet finite [ref] , but our feeling is that even at tree level we are still far from fully unlocking the structure of graviton amplitudes.

    The Tree Formula for MHV Graviton Amplitudes · Introduction · 0.80

What it cites · 28 sentences without a confident label

Uses the method or tool of 2 papers
  • Here we will present our results for non-local manifestly supersymmetric =4 SYM and =8 supergravity effective actions using dual conformal coordinates [ref] .

    On planar gluon amplitudes/Wilson loops duality · On the dual conformal symmetry of the effective action · 0.90

  • This action acquires a simple form after a dualization as performed in [ref] .

    Simplifying superstring action on AdS_5 x S^5 · On the dual conformal symmetry of the effective action · 0.86

Compares with 2 papers
Cites as background 11 papers
  • The results of the 3-loop computations have been reported in [ref] .

    Three-Loop Superfiniteness of N=8 Supergravity · Introduction · 0.80

  • A careful treatment of the supergraphs in the background field method in supersymmetric theories was made in [ref] , [ref] and in the harmonic superspace in [ref] , [ref] .

    (N,p,q) Harmonic Superspace · Introduction · 0.92

  • According to [ref] , [ref] , they may start at the 8-loop level, or even earlier, at the 3-loop level, according to [ref] , or from the 5-loop level [ref] .

    Supersymmetry counterterms revisited · Introduction · 0.80

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