Yang-Mills- and D-instantons

A.V. Belitsky; P. van Nieuwenhuizen; S. Vandoren

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Yang-Mills- and D-instantons

A.V. Belitsky, S. Vandoren, P. van Nieuwenhuizen

High Energy Physics - Theory · Submitted 26 Apr 2000

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

The authors' main claim By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.16 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions. We then relate this to D-instantons in type IIB supergravity. By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit.	contribution 0.68	0.48	0.05	asserted 0.87
s1	We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions.	contribution 0.50	0.92	0.08	asserted 1.00
s2	We then relate this to D-instantons in type IIB supergravity.	contribution 0.88	0.77	0.09	asserted 0.98
s3	By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.	contribution 0.44	0.90	0.33	asserted 1.00

What kind of paper the classifier reports this is: review 0.65 · evidence from proof or derivation 0.98.

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arXiv listing abstract v2

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full text
figures and tables
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C citations
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The paper

Original abstract

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions. We then relate this to D-instantons in type IIB supergravity. By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Membrane and fivebrane instantons and quaternonic geometry
hep-th 2006-03 conditional novelty 7.0 of 10

The paper derives fivebrane and membrane instanton corrections to the universal hypermultiplet moduli space metric in type IIA string theory, using instanton calculus and Toda equation solutions.
Classical gauge instantons from open strings
hep-th 2002-11 accept novelty 6.0 of 10

Mixed-boundary open-string disks in the D3/D(-1) system are the sources of the classical gauge instanton, and their tadpoles reproduce the BPST/ADHM profile in the singular gauge.
Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
hep-th 2006-03 conditional novelty 4.0 of 10

A doctoral thesis compiling and extending results on non-anticommutative field theory and twistor geometry, establishing Penrose-Ward correspondences and matrix-model equivalences with ADHM and Nahm equations.
The Calculus of Many Instantons
hep-th 2002-06 accept novelty 4.0 of 10

The paper assembles a unified geometric treatment of multi-instanton calculus, from ADHM moduli spaces to supersymmetric partition functions and D-brane relations.
Lectures on instantons
hep-th 2008-02 accept novelty 3.0 of 10

The paper is a self-contained pedagogical review of instantons in Yang-Mills theory and quantum mechanics, with detailed derivations of solutions, zero modes, measures, and standard applications.

Show 1 more citing papers

D-brane Instantons in Type II String Theory
hep-th 2009-02 accept novelty 2.0 of 10

D-brane instantons provide a calculable, zero-mode-driven source of non-perturbative superpotential and other holomorphic couplings in N=1 Type II orientifold compactifications.

How the literature uses it

15 arXiv papers cite this in 25 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 · 15 sentences without a confident label

Uses its method or tool 2 papers

In principle, starting from our bosonic solution, we can construct a solution with fermions turned on by performing a finite supersymmetry transformation - sometimes referred to as the sweeping procedure [ref] .

Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories · Solving the constraints · 0.97
A convenient representation for $d=6$ gamma matrices can be built starting with 't Hooft symbols (see appendices in [ref] ) η_a m n = _a m n 4+_a m_n 4-_a n_m 4 η_a m n = _a m n 4-_a m_n 4+_a n_m 4 , where $a=1,2,3$ (only in this and the next appendix) and $m=1,2,3,4$.

Dynamical supersymmetry in maximally supersymmetric gauge theories · 't Hooft symbols and $d=6$ gamma matrices · 0.86

Uses its data or values 1 paper

In particular, we have $( ℐ_k,N )=4kN$ [ref] .

Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories · Reduction to constraint surface · 0.82

Cites it as background 5 papers

N=4 SYM at strong coupling is related via the AdS/CFT correspondence [ref] to the supergravity in ten dimensions with the following action (in Euclidean formulation) [ref] [The action of SG1 is written for ten dimrensional flat space ($R10$).

D-instantons and multiparticle production in N=4 SYM · Supergravity (boson sector) · 0.90
Historically the string theoretic derivation [ref] of the famous ADHM construction of gauge instantons [ref] was among the first appearances of Euclidean D-branes in the context of instanton computations and has been the subject of many early investigations including [ref] (for reviews and more references see [ref] ).

D-brane Instantons in Type II String Theory · ADS superpotential for $SU(N_c)$ SQCD · 0.99
The solution constructed iteratively in this way is called super-instanton (cf. [ref] for reviews).

Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry · Euclidean $N=4$ SYM theory and instantons · 0.98

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