The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories
We study the moduli spaces of self-dual instantons on CP2 in a simple group G. When G is a classical group, these instanton solutions can be realized using ADHM-like constructions which can be naturally embedded into certain three-dimensional quiver gauge theories with four supercharges. The topolog...
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doaj-41f22482b81948939344f2b9941993e12020-11-24T20:54:32ZengElsevierNuclear Physics B0550-32132015-02-01891346377The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theoriesNoppadol Mekareeya0Diego Rodríguez-Gómez1Theory Group, Physics Department, CERN, CH-1211, Geneva 23 Switzerland; Corresponding author.Department of Physics, Universidad de Oviedo, Avda. Calvo Sotelo 18, 33007, Oviedo, SpainWe study the moduli spaces of self-dual instantons on CP2 in a simple group G. When G is a classical group, these instanton solutions can be realized using ADHM-like constructions which can be naturally embedded into certain three-dimensional quiver gauge theories with four supercharges. The topological data for such instanton bundles and their relations to the quiver gauge theories are described. Based on such gauge theory constructions, we compute the Hilbert series of the moduli spaces of instantons that correspond to various configurations. The results turn out to be equal to the Hilbert series of their counterparts on C2 upon an appropriate mapping. We check the former against the Hilbert series derived from the blowup formula for the Hirzebruch surface F1 and find an agreement. The connection between the moduli spaces of instantons on such two spaces is explained in detail.http://www.sciencedirect.com/science/article/pii/S0550321314003782 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Noppadol Mekareeya Diego Rodríguez-Gómez |
spellingShingle |
Noppadol Mekareeya Diego Rodríguez-Gómez The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories Nuclear Physics B |
author_facet |
Noppadol Mekareeya Diego Rodríguez-Gómez |
author_sort |
Noppadol Mekareeya |
title |
The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories |
title_short |
The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories |
title_full |
The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories |
title_fullStr |
The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories |
title_full_unstemmed |
The ADHM-like constructions for instantons on CP2 and three-dimensional gauge theories |
title_sort |
adhm-like constructions for instantons on cp2 and three-dimensional gauge theories |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 |
publishDate |
2015-02-01 |
description |
We study the moduli spaces of self-dual instantons on CP2 in a simple group G. When G is a classical group, these instanton solutions can be realized using ADHM-like constructions which can be naturally embedded into certain three-dimensional quiver gauge theories with four supercharges. The topological data for such instanton bundles and their relations to the quiver gauge theories are described. Based on such gauge theory constructions, we compute the Hilbert series of the moduli spaces of instantons that correspond to various configurations. The results turn out to be equal to the Hilbert series of their counterparts on C2 upon an appropriate mapping. We check the former against the Hilbert series derived from the blowup formula for the Hirzebruch surface F1 and find an agreement. The connection between the moduli spaces of instantons on such two spaces is explained in detail. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321314003782 |
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