Journal Article10.1016/0375-9601(78)90141-X
Construction of Instantons
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TL;DR: In this article, a complete construction for all self-dual euclidean Yang-Mills fields is given, involving only linear algebra, and the construction is shown to be complete.
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About: This article is published in Physics Letters A. The article was published on 06 Mar 1978. The article focuses on the topics: ADHM construction & Eight-dimensional space.
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Citations
•Posted Content
Torsion free instanton sheaves on the blow-up of $\mathbb{P}^{3}$ at a point
TL;DR: In this paper, an extension of the instanton bundles definition, given by Casnati-Coskun-Genk-Malaspina, for Fano threefolds, was proposed to include non locally-free instantons on the blow-up $\widetilde{\mathbb{P}^{3}$ of the projective $3-$space at a point.
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D-brane Instantons and Flavour Physics
Andreas Deser
- 01 Jan 2010
TL;DR: In this paper, the authors investigated D-brane-instanton generated contributions to the phenomenology of intersecting Dbrane models and derived the normalization of the holomorphic contributions in terms of Planck and string mass.
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On the non-existence of orthogonal instanton bundles on P^(2N+1)
TL;DR: In this article, Costa and Ottaviani proved that there do not exist orthogonal instanton bundles on P^(2n+1) and proposed a new way of representing the invariant.
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Implementation of an iterative map in the construction of (quasi)periodic instantons: chaotic aspects and discontinuous rotation numbers
TL;DR: In this paper, an iterative map of the unit disc in the complex plane is used to explore certain aspects of selfdual, four dimensional gauge fields (quasi)periodic in the Euclidean time.
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Compactification of the moduli space of minimal instantons on the Fano threefold $V_4$
TL;DR: In this paper, the moduli space of semi-stable sheaves of rank 2 on the Fano 3-folds of Picard number, degree, and index was studied.
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References
Instantons and algebraic geometry
Michael Atiyah,R. S. Ward +1 more
TL;DR: In this paper, it was shown that SU(2) Yang-Mills fields in Euclidean 4-space correspond, via the Penrose twistor transform, to algebraic bundles on the complex projective 3-space.
On Regular Solutions of Euclidean Yang-Mills Equations
TL;DR: In this article, the number of instantons and zero fermion modes in the field of instanton was calculated and the exact number of fermions was given in terms of the instantons.