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The structure of the R^8 term in type IIB string theory
High Energy Physics - Theory · Submitted 11 Jun 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction.
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Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction. It lies in the same supermultiplet as the G^8 R^4 interaction. Using the KLT relation, we analyse the structure of the tree level eight graviton scattering amplitude in the type IIB theory, which leads to the R^8 interaction at the linearized level. This involves an analysis of color ordered multi-gluon disc amplitudes in the type I theory, which shows an intricate pole structure and transcendentality consistent with various other interactions. Considerations of S-duality show that the R^8 interaction receives non-analytic contributions in the string coupling at one and two loops. Apart from receiving perturbative contributions, we show that the R^8 interaction receives a non-vanishing contribution in the one D-instanton-anti-instanton background at leading order in the weak coupling expansion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction. | result 0.76 | 0.84 | 0.89 | hedged possibility 0.53 |
| s1 | It lies in the same supermultiplet as the G^8 R^4 interaction. | result 0.79 | 0.49 | 0.06 | asserted 1.00 |
| s2 | Using the KLT relation, we analyse the structure of the tree level eight graviton scattering amplitude in the type IIB theory, which leads to the R^8 interaction at the linearized level. | method 0.80 | 0.91 | 0.15 | asserted 0.99 |
| s3 | This involves an analysis of color ordered multi-gluon disc amplitudes in the type I theory, which shows an intricate pole structure and transcendentality consistent with various other interactions. | method 0.71 | 0.84 | 0.03 | asserted 0.76 |
| s4 | Considerations of S-duality show that the R^8 interaction receives non-analytic contributions in the string coupling at one and two loops. | result 0.95 | 0.67 | 0.07 | asserted 0.98 |
| s5 | Apart from receiving perturbative contributions, we show that the R^8 interaction receives a non-vanishing contribution in the one D-instanton-anti-instanton background at leading order in the weak coupling expansion. | result 0.98 | 0.92 | 0.13 | asserted 1.00 |
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The paper
Original abstract
Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction. It lies in the same supermultiplet as the G^8 R^4 interaction. Using the KLT relation, we analyse the structure of the tree level eight graviton scattering amplitude in the type IIB theory, which leads to the R^8 interaction at the linearized level. This involves an analysis of color ordered multi-gluon disc amplitudes in the type I theory, which shows an intricate pole structure and transcendentality consistent with various other interactions. Considerations of S-duality show that the R^8 interaction receives non-analytic contributions in the string coupling at one and two loops. Apart from receiving perturbative contributions, we show that the R^8 interaction receives a non-vanishing contribution in the one D-instanton-anti-instanton background at leading order in the weak coupling expansion.
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References
How the literature uses it
12 arXiv papers cite this in 14 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 8 papers
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Such interactions have not been studied in detail[See [ref] for some analysis of non–BPS interactions.], and are crucial in understanding the effective action beyond the first few orders in the low momentum expansion.
Constraining non--BPS interactions from counterterms in three loop maximal supergravity · Introduction · 0.90
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These BPS interactions have been studied in considerable detail, though not much is known about the non–BPS interactions [ref] .
Some finite terms from ladder diagrams in three and four loop maximal supergravity · Introduction · 0.99
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The modular properties of the coefficients of a number of $U(1)$-violating effective interactions at the same order as $R^4$ in the low energy expansion were considered in [ref] .
Multiparticle one-loop amplitudes and S-duality in closed superstring theory · Introduction · 0.89
What it cites · 39 sentences without a confident label
Builds on 1 paper
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This is given by 1/4! 8! h (τ, τ̅) ∫d^16 θ(θ^2 Ĝ)^8 ∫d^16 θ^* (θ^* R)^4on keeping only the bosons in $Ĝ$, where h(τ,τ̅) = ( τ_2 /τ)^8 ( τ_2/τ̅)^4 f(τ,τ̅),and θ^2 Ĝ ≡(θ̅^* ^μνρ θ) Ĝ_μνρ .This is the $SL(2,ℤ)$ covariant generalization of the $SL(2,ℤ)$ invariant $(G G^*)^4 ℛ^4$ interaction [ref] , which should be a part of the same supermultiplet.
Type IIB $R^4 H^{4g-4}$ Conjectures · Other non–BPS interactions in the same supermultiplet · 0.85
Uses the method or tool of 4 papers
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From noether one can judiciously choose maximally fermionic terms in the effective action [ref] and construct corrected supersymmetry transformations such that noether is satisfied.
Recursion Relations from Space-time Supersymmetry · Relations among the moduli dependent couplings of the various non–BPS interactions · 0.86
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From noether one can judiciously choose maximally fermionic terms in the effective action [ref] and construct corrected supersymmetry transformations such that noether is satisfied.
Supersymmetry Constraints on Type IIB Supergravity · Relations among the moduli dependent couplings of the various non–BPS interactions · 0.86
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The analysis follows [ref] .
5-field terms in the open superstring effective action · The five gluon disc amplitude · 0.99
Cites as support 2 papers
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This vanishing has indeed been observed in [ref] [This is alo consistent with the analysis of the 5 loop beta function in [ref] .].
On tree-level higher order gravitational couplings in superstring theory · The coefficient of the $ℛ^5$ term · 0.97
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In fact, the one loop vanishing of the $ℛ^5$ interaction has been noted in [ref] .
The One-Loop Five-Graviton Amplitude and the Effective Action · The coefficient of the $ℛ^5$ term · 0.98
Cites as background 22 papers
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Some terms in the effective action of type IIB superstring theory in flat 10 dimensional space time have been studied in this context [ref] .
D-instantons, Strings and M-theory · Introduction · 1.00
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Some terms in the effective action of type IIB superstring theory in flat 10 dimensional space time have been studied in this context [ref] .
Recursion Relations from Space-time Supersymmetry · Introduction · 1.00
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Some terms in the effective action of type IIB superstring theory in flat 10 dimensional space time have been studied in this context [ref] .
Two loops in eleven dimensions · Introduction · 1.00
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