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Non-Linear Electrodynamics in Curved Backgrounds

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Gary W. Gibbons, Koji Hashimoto

High Energy Physics - Theory · Submitted 3 Jul 2000

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

The authors' main claim These properties are shown to hold for general duality-invariant non-linear electrodynamics.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0007019 (version 4)
Pith IDJL3LISZG, Pith's permanent record of this paper and its review
CitationGary W. Gibbons, Koji Hashimoto. "Non-Linear Electrodynamics in Curved Backgrounds." arXiv:hep-th/0007019 (2000). https://pith.science/paper/JL3LISZG
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,262 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.78 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.16 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the energy-momentum tensor vanishes. These properties are shown to hold for general duality-invariant non-linear electrodynamics. We give the dimensional reduction of Born-Infeld action to three dimensions in a general curved background admitting a Killing vector. The SO(2) duality symmetry becomes manifest but other symmetries present in flat space are broken, as is U-duality when one couples to gravity. We generalize our arguments on duality to the case of n U(1) gauge fields, and present a new Lagrangian possessing SO(n) X SO(2)_elemag duality symmetry. Other properties of this model such as Legendre duality and enhancement of the symmetry by adding dilaton and axion, are studied. We extend our arguments to include a background b-field in the curved space, and give new examples including almost Kaehler manifolds and Schwarzshild black holes with a $b$-field.

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 study non-linear electrodynamics in curved space from the viewpoint of dualities. contribution 0.92 0.91 0.07 asserted 0.81
s1 After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the energy-momentum tensor vanishes. result 0.80 0.92 0.16 asserted 1.00
s2 These properties are shown to hold for general duality-invariant non-linear electrodynamics. result 0.92 0.85 0.23 asserted 1.00
s3 We give the dimensional reduction of Born-Infeld action to three dimensions in a general curved background admitting a Killing vector. contribution 0.93 0.95 0.06 asserted 1.00
s4 The SO(2) duality symmetry becomes manifest but other symmetries present in flat space are broken, as is U-duality when one couples to gravity. result 0.94 0.83 0.11 asserted 1.00
s5 We generalize our arguments on duality to the case of n U(1) gauge fields, and present a new Lagrangian possessing SO(n) X SO(2)_elemag duality symmetry. contribution 0.97 0.95 0.19 asserted 1.00
s6 Other properties of this model such as Legendre duality and enhancement of the symmetry by adding dilaton and axion, are studied. contribution 0.97 0.90 0.07 asserted 0.96
s7 We extend our arguments to include a background b-field in the curved space, and give new examples including almost Kaehler manifolds and Schwarzshild black holes with a $b$-field. contribution 1.00 0.93 0.08 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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  • T body sentences
  • 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

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the energy-momentum tensor vanishes. These properties are shown to hold for general duality-invariant non-linear electrodynamics. We give the dimensional reduction of Born-Infeld action to three dimensions in a general curved background admitting a Killing vector. The SO(2) duality symmetry becomes manifest but other symmetries present in flat space are broken, as is U-duality when one couples to gravity. We generalize our arguments on duality to the case of n U(1) gauge fields, and present a new Lagrangian possessing SO(n) X SO(2)_elemag duality symmetry. Other properties of this model such as Legendre duality and enhancement of the symmetry by adding dilaton and axion, are studied. We extend our arguments to include a background b-field in the curved space, and give new examples including almost Kaehler manifolds and Schwarzshild black holes with a $b$-field.

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