RECORD
Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
High Energy Physics - Theory · Submitted 4 Dec 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These combine with known perturbative and worldsheet instanton corrections into a single modular invariant function that determines the hypermultiplet low-energy effective acction.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We find the D(-1) and D1-brane instanton contributions to the hypermultiplet moduli space of type IIB string compactifications on Calabi-Yau threefolds. These combine with known perturbative and worldsheet instanton corrections into a single modular invariant function that determines the hypermultiplet low-energy effective acction.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We find the D(-1) and D1-brane instanton contributions to the hypermultiplet moduli space of type IIB string compactifications on Calabi-Yau threefolds. | result 0.67 | 0.95 | 0.44 | asserted 1.00 |
| s1 | These combine with known perturbative and worldsheet instanton corrections into a single modular invariant function that determines the hypermultiplet low-energy effective acction. | result 0.92 | 0.69 | 0.63 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We find the D(-1) and D1-brane instanton contributions to the hypermultiplet moduli space of type IIB string compactifications on Calabi-Yau threefolds. These combine with known perturbative and worldsheet instanton corrections into a single modular invariant function that determines the hypermultiplet low-energy effective acction.
Human review
References
How the literature uses it
60 arXiv papers cite this in 123 sentences
Papers citing it · 96 sentences without a confident label
Contests it 1 paper
-
This analysis (and presumably also the analysis in [ref] ) breaks down for rigid Calabi-Yau threefolds, the sector which we address in this work.
Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1) · The Hypermultiplet Moduli Space of $N =2$ Supergravity · contest 0.86
Builds on it 2 papers
-
We start by reviewing and extending the results obtained in [ref] for the contribution of D1-D$(-1)$-instantons and A-type D2-brane instantons in Calabi-Yau compactifications of Type IIB and Type IIA strings, respectively.
D-instantons and twistors · D-instanton corrections in Type II compactifications · 0.98
-
This invariance has been shown in the D1-D(-1) sector [ref] , extending the results of the earlier work [ref] , and our goal is to extend this construction to D3-D1-D(-1)-instantons.
S-duality in Twistor Space · Twistorial description of $_H$ · 0.83
Uses its method or tool 7 papers
-
In order to obtain these solutions we will simply sum over images of the $α'$ corrections under the duality group following [ref] .
Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications · Introduction · 0.98
-
As explained in [ref] , the invariance under the discrete subgroup $SL(2,)$ can be restored by summing over images, using similar techniques as the ones used for $R^4$ couplings in toroidal compactifications [ref] .
D-instantons and twistors · S-duality and A-type D-instanton corrections · 0.86
-
To that end, one may consider the initial expression for the corrections given by [ref] and, following [ref] , split it in two terms:
Instanton Corrections and Emergent Strings · Instantons and Light Strings · 0.96
Compares with it 3 papers
-
Indeed, evaluating the integrals by residues, one can verify that [ref] coincides with the contact potential found in [ref] , while the quantum corrections [ref] reproduce the results in Eq. (5.2) [ref] up to δ_0^inst =∑_q_a ≥0 n_q_a^(0)∑_m,n' mδ_m,n, δσ^inst =-∑_q_a ≥0 n_q_a^(0)∑_m,n' (mτ_1+2n)δ_m,n,
S-duality in Twistor Space · The quantum mirror map revisited · 0.98
-
In order to do so, it is convenient to notice that the above structures clearly reproduce the type IIB result in [ref] , which we review here for completeness.
Non-perturbative effects and wall-crossing from topological strings · The type IIB instanton interpretation · 0.90
-
By just looking at the zero mode counting, we do not expect similar corrections to the 1/2-BPS fundamental, $E1$ and $E3$ instanton corrections to the $N=2$ hypermultiplet moduli space as recently discussed for instance in [ref] .
Power Towers of String Instantons for N=1 Vacua · Remarks · 0.92
Cites it as background 14 papers
-
Although these results have been obtained by following the path presented in Fig. [ref][The first step up towards non-perturbative contributions has been done in [ref] , mirror symmetry has been applied in [ref] , then all D-brane instantons have been included in [ref] , and one-instanton contributions due to NS5-branes have been found in [ref] .], we will not repeat it in detail.
Twistor Approach to String Compactifications: a Review · Where we are · 0.91
-
In this case the low energy effective action is known to be described by the metric on the vector multiplet (VM) and hypermultiplet (HM) moduli spaces, $$ and $$, and the latter is known to be [ref] and to carry an isometric action of $SL(2,)$ [ref] .
Modularity, Quaternion-Kahler spaces and Mirror Symmetry · Introduction · 0.84
-
In the case of D2-brane instanton, these effects have been computed via duality in [ref] and are by now well-understood.[In the context of the distance conjecture [ref] , these kind of instantons have been analyzed in the mirror dual Type IIB setup in [ref] , where it was shown that they obstruct certain classical infinite distance limits which otherwise violate the emergent string conjecture [ref] ; see also [ref] for a similar study in M-theory compactifications on Calabi–Yau threefolds.] For our purpose, the relevant corrections originate from the 5-brane instantons, whose computation is more involved.
Non-perturbative Resolution of Strong Coupling Singularities in 4d N=1 Heterotic/M-theory · Introduction · 0.81
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.