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T-duality of anomalous Chern-Simons couplings
High Energy Physics - Theory · Submitted 13 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order $O(\alpha'^2)$ for ${\cal C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$.
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The abstract, sentence by sentence
It is known that the anomalous D$_p$-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order $O(\alpha'^2)$ for ${\cal C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It is known that the anomalous D$_p$-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. | background 0.98 | 0.03 | 0.05 | asserted 1.00 |
| s1 | Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order $O(\alpha'^2)$ for ${\cal C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$. | contribution 0.60 | 0.96 | 0.86 | asserted 1.00 |
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The paper
Original abstract
It is known that the anomalous D$_p$-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order $O(\alpha'^2)$ for ${\cal C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$.
Human review
References
How the literature uses it
22 arXiv papers cite this in 42 sentences
Papers citing it · 32 sentences without a confident label
Builds on it 3 papers
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In this section, we summarize all flux corrections to D-branes in superstring theory from the papers [ref] that are non-vanishing for the KS throat, extend them to the NS5-brane and evaluate them at the tip of the KS throat.
$\alpha'$ corrections to KPV: An uplifting story · Flux corrections on the NS5-brane · 0.91
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We do so by extending the leading order calculation of the potential of a nonabelian $D3$-brane stack of [ref] to include the next-to-leading order commutator corrections as well as the same set of $α'$ corrections [ref] which has been encountered in [ref] but here as corrections to $D3$-branes.
Higher order corrections to KPV: The nonabelian brane stack perspective · Introduction · 1.00
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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 1 paper
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To study the T-duality one should first change the Einstein frame metric $g^E_μν$ to the string frame metric $g^S_μν$ as $g^S_μν=e^ϕ_0/2g^E_μν$, and then apply the linear T-duality transformation as in [ref] .
On S-duality of D$_3$-brane S-matrix · One gauge field amplitudes · 0.93
Compares with it 2 papers
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The structure of the couplings of one RR potential $C^(p-3)$ and two B-fields which result from the consistency of the Chern-Simons action at order $O(α'^2)$ with the linear T-duality transformations [ref] , are different from the couplings in first111.
On RR couplings on D-branes at order $O(\alpha'^2)$ · Introduction · 0.93
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However, the above amplitude has more couplings than those have been found in [ref] by requiring the consistency of the graviton couplings in the Chern-Simons action with linear T-duality.
Towards extending the Chern-Simons couplings at order $O(\alpha'^2)$ · String theory amplitude · 0.88
Cites it as support 1 paper
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This indicates that these terms are invariant under linear T-duality when the Killing coordinate is an index of the RR potential [ref] .
Towards extending the Chern-Simons couplings at order $O(\alpha'^2)$ · String theory amplitude · 0.96
Cites it as background 3 papers
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Moreover, there are $α'$ corrections to the CS action which are computed in [ref] .
$\alpha'$ corrections to KPV: An uplifting story · Flux corrections that vanish for the KS set up · 0.80
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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
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Recent work on higher derivative interactions, including those supported on branes, can be found in [ref] .
New Examples of Flux Vacua · Introduction · 0.94
What it cites · 33 sentences without a confident label
Uses the method or tool of 2 papers
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The strategy to find T-duality invariant couplings is given in [ref] .
T-duality of curvature terms in D-brane actions · T-duality · 0.97
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In this paper, however, we use the method that was used in [ref] to find the Myers terms in the non-abelian CS action at order $O(α'^0)$.
Dielectric-Branes · Introduction · 1.00
Compares with 2 papers
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This phenomenon does not appear in the T-dual multiplets in LTdual because the S-matrix element of two closed string vertex operators at order $O(α'^2)$ has only contact terms [ref] .
Superstring Scattering from D-Branes · Introduction · 0.86
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These couplings have been also found in [ref] .
Higher Derivative Brane Couplings from T-Duality · Introduction · 0.85
Cites as support 1 paper
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It is shown in [ref] that even though the contact terms and the massless poles are not separately invariant under the R-R gauge transformations, their combination satisfies this symmetry.
Towards extending the Chern-Simons couplings at order $O(\alpha'^2)$ · $C^(p-3)$ couplings · 0.97
Cites as background 10 papers
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The curvature corrections to this action have been found in [ref] by requiring the consistency of the effective action with the $O(α'^2)$ terms of the corresponding disk-level scattering amplitude [ref] .
Decay of Excited D-branes · Introduction · 0.85
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The curvature corrections to this action have been found in [ref] by requiring the consistency of the effective action with the $O(α'^2)$ terms of the corresponding disk-level scattering amplitude [ref] .
Curvature terms in D-brane actions and their M-theory origin · Introduction · 0.85
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The curvature corrections to this action have been found in [ref] by requiring the consistency of the effective action with the $O(α'^2)$ terms of the corresponding disk-level scattering amplitude [ref] .
Superstring Scattering from D-Branes · Introduction · 0.85
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