One-loop and D-instanton corrections to the effective action of open string models

Maximilian Schmidt-Sommerfeld

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One-loop and D-instanton corrections to the effective action of open string models

Maximilian Schmidt-Sommerfeld

High Energy Physics - Theory · Submitted 17 Sep 2009

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

The authors' main claim The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.

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arXiv ID0909.3153 (version 1)

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CitationMaximilian Schmidt-Sommerfeld. "One-loop and D-instanton corrections to the effective action of open string models." arXiv:0909.3153 (2009). https://pith.science/paper/WW42D5YM

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One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed. It is described how to determine D-instanton corrections to the superpotential and the gauge kinetic function in such models. The Affleck-Dine-Seiberg superpotential is rederived in string theory. The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed.	contribution 0.78	0.90	0.15	asserted 1.00
s1	It is described how to determine D-instanton corrections to the superpotential and the gauge kinetic function in such models.	method 0.66	0.75	0.12	asserted 0.99
s2	The Affleck-Dine-Seiberg superpotential is rederived in string theory.	result 0.80	0.89	0.18	asserted 1.00
s3	The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.	contribution 0.60	0.61	0.26	speculative 1.00

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Original abstract

One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed. It is described how to determine D-instanton corrections to the superpotential and the gauge kinetic function in such models. The Affleck-Dine-Seiberg superpotential is rederived in string theory. The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.

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2 arXiv papers cite this in 3 sentences

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D-instanton contributions to the superpotential in type II string theory on Calabi-Yau orientifolds have been extensively studied earlier in the literature, see e.g. [ref] .

D-instanton Induced Superpotential · Introduction · 0.98
Gauge threshold corrections for intersecting D6-branes have been considered before in toroidal backgrounds [ref] for vanishing Wilson line and displacement moduli.

Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models · Introduction · 0.84

What it cites · 158 sentences without a confident label

Uses the method or tool of 16 papers

The next step is to apply [ref] the general formulas of the previous sections.

Power Towers of String Instantons for N=1 Vacua · Computation in a concrete model · 0.85
Using some theta function identities the gauge threshold corrections for the model under consideration can then be written as [ref] [equation] The next step is to evaluate [ref], which can be done as follows.

String instantons, fluxes and moduli stabilization · A type I model and its heterotic dual · 0.90
In the following the gauge threshold corrections computed in sections [ref] and [ref] will be analysed with the help of [ref] [ref] .

Instantons and Holomorphic Couplings in Intersecting D-brane Models · Holomorphy of the gauge kinetic function · 0.97

Compares with 3 papers

Completely analogously one finds for the poly-instanton D1$_2$-D1$_4$ [ref] [equation] By comparing these results with the expression for the contributions of worldsheet instantons to the gauge threshold corrections in the dual heterotic model, one finds that [ref] is equal to the summand with $p=2$, $k=1/2$, $j=0$ and $a=4$ in [ref], and [ref] to that with $p=1$, $k=1$, $j=1/2$ and $a=2$.

Power Towers of String Instantons for N=1 Vacua · Computation in a concrete model · 0.88
It is interesting to compare [ref] to the formula [ref] (adapted to the case of D2-instantons) [equation] for the D-instanton induced superpotential derived via a physical gauge approach.

World-Sheet Corrections Via D-Instantons · Corrections to the superpotential · 0.99
The integral to be evaluated is [equation] and one recovers the form of the superpotential found in field theory [ref] .

Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories · Other gauge groups · 0.85

Cites as support 4 papers

When computing the latter, it turns out [ref] that they can only reproduce the absolute value of the Pfaffian/determinant factor, but not the phase.

Instantons in N=2 magnetized D-brane worlds · Corrections to the superpotential · 0.97
When computing the latter, it turns out [ref] that they can only reproduce the absolute value of the Pfaffian/determinant factor, but not the phase.

Instanton effects in N=1 brane models and the Kahler metric of twisted matter · Corrections to the superpotential · 0.97
When computing the latter, it turns out [ref] that they can only reproduce the absolute value of the Pfaffian/determinant factor, but not the phase.

Gauge Thresholds and Kaehler Metrics for Rigid Intersecting D-brane Models · Corrections to the superpotential · 0.97

Cites as background 37 papers

This chapter deals with instanton-induced contributions to the gauge kinetic function [ref] , which, just as the superpotential, is holomorphic.

Instantons and Holomorphic Couplings in Intersecting D-brane Models · Other gauge groups · 0.83
This chapter deals with instanton-induced contributions to the gauge kinetic function [ref] , which, just as the superpotential, is holomorphic.

Power Towers of String Instantons for N=1 Vacua · Other gauge groups · 0.83
Such instantons are called D-instantons [ref] and the subject of this chapter.

Aspects of D-Instantons · A model with fractionally charged D6-branes · 0.83

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