Muti-instanton Amplitudes in Type IIB String Theory

Ashoke Sen

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Muti-instanton Amplitudes in Type IIB String Theory

Ashoke Sen

High Energy Physics - Theory · Submitted 30 Apr 2021

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

The authors' main claim We compute the normalization of the multiple D-instanton amplitudes in type IIB string theory and show that the result agrees with the prediction of S-duality due to Green and Gutperle.

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We compute the normalization of the multiple D-instanton amplitudes in type IIB string theory and show that the result agrees with the prediction of S-duality due to Green and Gutperle.

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s0	We compute the normalization of the multiple D-instanton amplitudes in type IIB string theory and show that the result agrees with the prediction of S-duality due to Green and Gutperle.	result 0.66	0.95	0.93	asserted 1.00

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We compute the normalization of the multiple D-instanton amplitudes in type IIB string theory and show that the result agrees with the prediction of S-duality due to Green and Gutperle.

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26 arXiv papers cite this in 51 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 · 34 sentences without a confident label

Builds on it 1 paper

The extra factor of $√(k)$ in the relation between $ξ^μ$ and $ξ^μ$ can be traced to the fact that the Chan-Paton factor accompanying the correctly normalized vertex operator for $ξ^μ$ is given by $1/√(k)$ times the identity matrix [ref] .

D-instantons in Type IIA string theory on Calabi-Yau threefolds · Multiple instantons · 0.89

Uses its method or tool 3 papers

To compute it, we shall follow the procedure described in [ref] .

D-instantons in Type IIA string theory on Calabi-Yau threefolds · Multiple instantons · 1.00
For this we follow the logic of [ref] .

Multi-instantons in minimal string theory and in matrix integrals · General multi-instanton contribution to the partition function · 0.99
Nevertheless, since we follow the same procedure that was used in the analysis of [ref] , we expect our analysis to produce the correct result.

D-instanton Induced Superpotential · Introduction · 0.92

Uses its data or values 2 papers

So as far as the volume of $U(ℓ)$ is concerned, there is no difference and we can directly take the result of [ref] .] [equation] where $G_2(ℓ+1) = ∏_i=1^ℓ-1 i!$ is the Barnes-G double gamma function.

Multi-instantons in minimal string theory and in matrix integrals · General multi-instanton contribution to the partition function · 0.85
We also have [ref] (see [ref] for translation of these results to the normalization convention used here): V_SU()/_ = 2^(^2-1)/2 2^(-1)/2 π^(-1)(+2)/2 √() ∏_j=1^-1 j! .

D-instantons in Type IIA string theory on Calabi-Yau threefolds · Multiple instantons · 0.86

Cites it as support 1 paper

Crucially, the context of D-instanton physics, for which the IKKT action is being used can fix the $(g, N)$-dependence of $𝒩$ uniquely [ref] .

The IKKT renormalization group flow is IIB: toward zero-d holography · Normalising the partition function · 0.97

Cites it as background 9 papers

While D-instanton effects are fundamental to the dynamics of string theory [ref] , and have been determined in some cases by a combination of on-shell worldsheet methods and string dualities [ref] , a systematic framework for computing them has been lacking until recent work of Sen [ref] based on open+closed string field theory [ref] .

D-instanton Effects in Type IIB String Theory · Introduction · 0.84
Recently, this class of non-perturbative effects has been studied and calculated more systematically, at leading and sub-leading orders in $g_s$ about a given instanton sector, in low-dimensional string theories [ref] and in higher-dimensional superstrings [ref] .

The complex Liouville string: worldsheet boundaries and non-perturbative effects · Generalities · 0.82
Recently, in a series of works on D-instanton amplitudes from the point of view of string field theory [ref] , it was realized that string field theory can be used to regulate the IR divergence of the D-instanton amplitudes.

D-instanton, threshold corrections, and topological string · Introduction · 0.88

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The analog of eq.(4.44) of [ref] , giving the infinitesimal string field theory gauge transformation of $ξ$, takes the form: δξ= i2 g_o θ^a T^a ξ .

Normalization of Type IIB D-instanton Amplitudes · Introduction · 0.84

Uses the method or tool of 1 paper

As in [ref] , this is formally given by the exponential of the annulus diagram multiplied by $i$.

Normalization of Type IIB D-instanton Amplitudes · Introduction · 0.88

Compares with 3 papers

Our main goal here will be to check that the integral efirstint exactly reproduces the prediction of [ref] including the normalization.

D-instantons, Strings and M-theory · Introduction · 0.90
One can also check explicitly that the $χ_α^a$-$χ_β^b$-$ξ_μ^c$ amplitude computed from eymaction agrees with that computed from string theory in the convention of [ref] and that the quartic coupling between the $ξ_μ^a$'s agrees with the result of [ref] .

Localization of effective actions in open superstring field theory · Introduction · 0.98
One can also check explicitly that the $χ_α^a$-$χ_β^b$-$ξ_μ^c$ amplitude computed from eymaction agrees with that computed from string theory in the convention of [ref] and that the quartic coupling between the $ξ_μ^a$'s agrees with the result of [ref] .

Normalization of Type IIB D-instanton Amplitudes · Introduction · 0.98

Cites as background 6 papers

D-instanton contribution to the four graviton amplitude in type IIB string theory was predicted by Green and Gutperle by requiring the amplitude to be S-duality invariant [ref] .

D-instantons, Strings and M-theory · Introduction · 0.83
D-instanton contribution to the four graviton amplitude in type IIB string theory was predicted by Green and Gutperle by requiring the amplitude to be S-duality invariant [ref] .

Supersymmetry Constraints on Type IIB Supergravity · Introduction · 0.83
The integral appearing in efirstint is the partition function of the IKKT matrix model [ref] and has been analyzed in [ref] .

Monte Carlo Approach to M-Theory · Introduction · 0.85

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