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Higher Derivative Brane Couplings from T-Duality

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Katrin Becker, Guangyu Guo, Daniel Robbins

High Energy Physics - Theory · Submitted 2 Jul 2010

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

The authors' main claim We then confirm these results with string worldsheet computations by evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex operators.

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arXiv ID1007.0441 (version 2)
Pith IDOBE7KL5S, Pith's permanent record of this paper and its review
CitationDaniel Robbins, Guangyu Guo, Katrin Becker. "Higher Derivative Brane Couplings from T-Duality." arXiv:1007.0441 (2010). https://pith.science/paper/OBE7KL5S
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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.51 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; .

The Wess-Zumino coupling on D-branes in string theory is known to receive higher derivative corrections which couple the Ramond-Ramond potential to terms involving the square of the spacetime curvature tensor. Consistency with T-duality implies that the branes should also have four-derivative couplings that involve the NS-NS B-field. We use T-duality to predict some of these couplings. We then confirm these results with string worldsheet computations by evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex operators.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 The Wess-Zumino coupling on D-branes in string theory is known to receive higher derivative corrections which couple the Ramond-Ramond potential to terms involving the square of the spacetime curvature tensor. background 1.00 0.04 0.07 asserted 1.00
s1 Consistency with T-duality implies that the branes should also have four-derivative couplings that involve the NS-NS B-field. background 0.76 0.11 0.23 asserted 0.66
s2 We use T-duality to predict some of these couplings. method 0.65 0.94 0.16 asserted 0.97
s3 We then confirm these results with string worldsheet computations by evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex operators. method 0.89 0.96 0.17 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.52.

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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

The Wess-Zumino coupling on D-branes in string theory is known to receive higher derivative corrections which couple the Ramond-Ramond potential to terms involving the square of the spacetime curvature tensor. Consistency with T-duality implies that the branes should also have four-derivative couplings that involve the NS-NS B-field. We use T-duality to predict some of these couplings. We then confirm these results with string worldsheet computations by evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex operators.

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References
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30 arXiv papers cite this in 54 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 · 39 sentences without a confident label

Builds on it 2 papers
  • In [ref] we will use the tools presented in this paper to present the gauge invariant completion of the four derivative corrections to the Wess-Zumino contribution to the D-brane action found in [ref] .

    Disc amplitudes, picture changing and space-time actions · Introduction · 0.80

  • Furthermore, acting with T-duality on the A-roof in ([ref]) one can obtain dielectric terms that couple the RR-potentials to derivatives of $B_2$ and the metric that generalize the anomalous terms derived in [ref] for a single D$p$-brane.

    ABJM Baryon Stability and Myers effect · Dielectric higher-curvature terms · 0.84

Uses its method or tool 3 papers
  • After mapping the results to disk with unit radius and set [ref] $z_1=0$ to fix $SL(2,R)$ symmetry, it can be found the $X$ correlator in $b_10$ is [ref] |z_2| ^2s|z_3| ^2t (1-|z_2|^2 )^p (1-|z_3|^2)^q| z_2-z_3| ^2u| 1-z_2z̅_3| ^2v≡KK

    On Chern-Simons Couplings at order $O(\alpha'^2)$ · $n=4$ case · 0.80

  • Using the $SL(2,R)$ symmetry fixing in [ref] , one finds the low energy expansion of the integrals $,_1,_2,_3,_4,_5,_12,_15$ and $_16$, for the general setup.

    T-dual RR couplings on D-branes from S-matrix elements · Field theory amplitude · 0.99

  • We are following references [ref] , [ref] , and [ref] , where the formalism was developed and some simple amplitudes were computed.

    Three-Point Disc Amplitudes in the RNS Formalism · Introduction · 0.90

Compares with it 4 papers
Cites it as background 5 papers
  • The tree level scattering amplitude of one RR and two NSNS states on the world-volume of a D$_p$-brane has been studied in different vertex pictures [ref] .

    T-dual RR couplings on D-branes from S-matrix elements · String scattering amplitude · 0.81

  • Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .

    Duality completion of higher derivative corrections · Introduction · 0.96

  • The Chern-Simons action receives corrections involving odd powers of the RR fields (see, e.g., [ref] ).

    Almost classical de Sitter? · Type IIA supergravity · 0.90

What it cites · 23 sentences without a confident label

Uses the method or tool of 6 papers
Compares with 1 paper
  • One finds the invariant combination ℒ⊃𝒩e^-2Φ√(-g)R-1/12H^2+4∇^2Φ-4∇Φ^2, with $𝒩$ an arbitrary constant[One can compare this result with equation (1.10) of [ref] , which is obtained by slightly different reasoning.].

    Background independent action for double field theory · Using T-duality to construct or constrain actions · 1.00

Cites as background 1 paper

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