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Ricci curvature corrections to type II supergravity
High Energy Physics - Theory · Submitted 16 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Requiring the compatibility of the dilaton couplings with off-shell T-duality as a guiding principle, we extend them to include the appropriate Ricci curvature and the divergence of the B-field strength.
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The abstract, sentence by sentence
We examine the NS-NS corrections to the type II supergravity given by Gross and Sloan, under the linear T-duality transformations. We show that the gravity and the B-field couplings are invariant under off-shell T-duality, whereas the dilaton couplings are invariant under on-shell T-duality. Requiring the compatibility of the dilaton couplings with off-shell T-duality as a guiding principle, we extend them to include the appropriate Ricci curvature and the divergence of the B-field strength.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We examine the NS-NS corrections to the type II supergravity given by Gross and Sloan, under the linear T-duality transformations. | contribution 0.71 | 0.77 | 0.04 | asserted 0.72 |
| s1 | We show that the gravity and the B-field couplings are invariant under off-shell T-duality, whereas the dilaton couplings are invariant under on-shell T-duality. | result 1.00 | 0.92 | 0.39 | asserted 1.00 |
| s2 | Requiring the compatibility of the dilaton couplings with off-shell T-duality as a guiding principle, we extend them to include the appropriate Ricci curvature and the divergence of the B-field strength. | contribution 0.92 | 0.94 | 0.53 | asserted 0.97 |
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The paper
Original abstract
We examine the NS-NS corrections to the type II supergravity given by Gross and Sloan, under the linear T-duality transformations. We show that the gravity and the B-field couplings are invariant under off-shell T-duality, whereas the dilaton couplings are invariant under on-shell T-duality. Requiring the compatibility of the dilaton couplings with off-shell T-duality as a guiding principle, we extend them to include the appropriate Ricci curvature and the divergence of the B-field strength.
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References
How the literature uses it
15 arXiv papers cite this in 27 sentences
Papers citing it · 21 sentences without a confident label
Contests it 1 paper
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This invalidates the interpretation in [ref] which considers the Lagrangian $$ to be eight-dimensional and adds some dilaton couplings to extend it to the ten-dimensional Lagrangian.
Ramond-Ramond corrections to type II supergravity at order $\alpha'^3$ · Discussion · contest 0.94
Cites it as support 1 paper
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It has been shown in [ref] that such couplings at four-field level are consistent with the linear T-duality.
Generalized Riemann curvature corrections to type II supergravity · Introduction · 0.98
Cites it as background 3 papers
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For the type II string, the higher derivative corrections at order $𝒪(α'^3)$ have been investigated in [ref] and completed via T-duality in [ref] .
T-duality building blocks for $\alpha'$ string corrections · Introduction · 0.96
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Hatefi [ref] .], the closed and the open sector of the superstring low energy effective lagrangian [ref] , higher loop calculations of closed and open superstring scattering [ref] , Mellin correspondence between supergravity and superstring amplitudes [ref] and a deeper understanding of the $α'$ expansion of tree level open and closed superstrings [ref] , among other things.
RNS derivation of N-point disk amplitudes from the revisited S-matrix approach · Introduction · 0.99
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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 · 36 sentences without a confident label
Compares with 3 papers
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Finally, let us compare the $α'^3$-order spacetime action Y6 with the string frame $α'^2$-order D-brane action found in [ref] S ∼ ∫d^p+1x √(-G)e^-ϕ_0[-2(R̂_ab+ Φ_;ab)(R̂^ab+ Φ^;ab)+2(R̂_ij+ Φ_;ij)(R̂^ij+ Φ^;ij) +R_abcdR^abcd-R_abijR^abij-2/3_aH_ijk^aH^ijk-4/3_iH_abc^iH^abc+2_aH_bci^aH^bci ]In this equation the indices $a,b,c,d$ are the world volume indices and $i,j,k$ are the transverse indices.
T-duality of curvature terms in D-brane actions · Discussion · 1.00
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Finally, let us compare the $α'^3$-order spacetime action Y6 with the string frame $α'^2$-order D-brane action found in [ref] S ∼ ∫d^p+1x √(-G)e^-ϕ_0[-2(R̂_ab+ Φ_;ab)(R̂^ab+ Φ^;ab)+2(R̂_ij+ Φ_;ij)(R̂^ij+ Φ^;ij) +R_abcdR^abcd-R_abijR^abij-2/3_aH_ijk^aH^ijk-4/3_iH_abc^iH^abc+2_aH_bci^aH^bci ]In this equation the indices $a,b,c,d$ are the world volume indices and $i,j,k$ are the transverse indices.
S-duality of D-brane action at order $O(\alpha'^2)$ · Discussion · 1.00
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Finally, let us compare the $α'^3$-order spacetime action Y6 with the string frame $α'^2$-order D-brane action found in [ref] S ∼ ∫d^p+1x √(-G)e^-ϕ_0[-2(R̂_ab+ Φ_;ab)(R̂^ab+ Φ^;ab)+2(R̂_ij+ Φ_;ij)(R̂^ij+ Φ^;ij) +R_abcdR^abcd-R_abijR^abij-2/3_aH_ijk^aH^ijk-4/3_iH_abc^iH^abc+2_aH_bci^aH^bci ]In this equation the indices $a,b,c,d$ are the world volume indices and $i,j,k$ are the transverse indices.
Curvature terms in D-brane actions and their M-theory origin · Discussion · 1.00
Cites as background 2 papers
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T-duality is one of the most fascinating dualities of superstring theory [ref] .
Target Space Duality in String Theory · Introduction · 1.00
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T-duality is one of the most fascinating dualities of superstring theory [ref] .
An Introduction to T-Duality in String Theory · Introduction · 1.00
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