High Energy Physics - Theory · arXiv:1311.4797 v1 · submitted 19 Nov 2013
N=2 higher-derivative couplings from strings
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“We obtain a variety of higher derivative invariants generalising the one-loop topological string coupling, F1, controlled by the lowest order Kahler potential and two new non-topological quantities built out of the Calabi-Yau Riemann curvature.”
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Abstract
We consider the Calabi-Yau reduction of the Type IIA eight derivative one-loop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a tensor multiplet containing the NS two-form. We obtain a variety of higher derivative invariants generalising the one-loop topological string coupling, F1, controlled by the lowest order Kahler potential and two new non-topological quantities built out of the Calabi-Yau Riemann curvature.
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.21 · mentions code or data availability 0.02
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| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We consider the Calabi-Yau reduction of the Type IIA eight derivative one-loop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a tensor multiplet containing the NS two-form. | contribution 0.77 | 0.69 | 0.07 | asserted 0.77 |
| We obtain a variety of higher derivative invariants generalising the one-loop topological string coupling, $F_1$, controlled by the lowest order Kahler potential and two new non-topological quantities built out of the Calabi-Yau Riemann curvature. | result 0.93 | 0.95 | 0.79 | asserted 1.00 |
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,403 input tokens, $0.0001 reported.
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Cited by 3 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Higher derivatives in Type II and M-theory on Calabi-Yau threefolds hep-th · Feb 2017
- The effective action of warped M-theory reductions with higher derivative terms - Part I hep-th · Dec 2014
- The effective action of warped M-theory reductions with higher-derivative terms - Part II hep-th · Jul 2015
How the literature uses it
7 arXiv papers cite this in 9 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 2 papers
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The stringy origin of these couplings has been studied only for the reduction of type IIA one-loop couplings [ref] since these are the only ones that lift to M-theory.
Higher-derivative couplings in string theory: five-point contact terms · Reduction on CY threefolds · 0.82
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It is a non-topological, co-closed (2,2)-form $Z$ whose components are given by [equation] satisfying the relations [equation] This object was already recognized to play a role in the context of $=2$ four-derivative couplings arising from string compactifications in [ref] .
Higher derivatives in Type II and M-theory on Calabi-Yau threefolds · Four-derivative terms of the moduli · 0.83
What it cites · 52 sentences without a confident label
Builds on 1 paper
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For example, the $R^2F^2$- and $R^4$-type couplings feature terms found by substituting $F^2→R^2$ and similarly for the other components in [ref] and are discussed in [ref] .
New supersymmetric higher-derivative couplings: Full N=2 superspace does not count! · The quadratic invariant · 0.89
Uses the method or tool of 4 papers
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The latter has not been described in the context of $=2$ supergravity, while the former two can be constructed using the techniques in [ref] .
New supersymmetric higher-derivative couplings: Full N=2 superspace does not count! · Six derivative couplings · 0.98
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One possible way to construct couplings of this type is to make use of the results of [ref] , on arbitrary couplings of vector and tensor multiplet superfields.
New higher-derivative couplings in 4D N = 2 supergravity · On $H^2F^2$ terms · 0.99
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We use the symbolic computer algebra system Cadabra [ref] to systematically derive the structure of these terms.
Introducing Cadabra: a symbolic computer algebra system for field theory problems · Reduction on Calabi-Yau manifolds · 1.00
Cites as background 10 papers
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Our conventions are as in [ref] , where the reader can find a more detailed account.
New supersymmetric higher-derivative couplings: Full N=2 superspace does not count! · Off-shell $=2$ supergravity and chiral multiplets · 0.94
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In particular, the F-term in the low energy effective action in four dimensions is related to the scattering amplitude of 2 selfdual gravitons and $(2g - 2)$ self-dual graviphotons in the zero-momentum limit and is computed by the genus-$g$ contribution $F_g$ to the topological string partition function [ref] .
Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes · Introduction and summary · 0.87
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In particular, the F-term in the low energy effective action in four dimensions is related to the scattering amplitude of 2 selfdual gravitons and $(2g - 2)$ self-dual graviphotons in the zero-momentum limit and is computed by the genus-$g$ contribution $F_g$ to the topological string partition function [ref] .
Topological Amplitudes in String Theory · Introduction and summary · 0.87
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