Instantons on conical half-flat 6-manifolds

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Bunk, Severin; Lechtenfeld, Olaf; Popov, Alexander D; Sperling, Marcus: Instantons on conical half-flat 6-manifolds. In: Journal of High Energy Physics 2015 (2015), Nr. 1. DOI: http://dx.doi.org/10.1007/JHEP01(2015)030

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Sum total of downloads: 242




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We present a general procedure to construct 6-dimensional manifolds with SU(3)-structure from SU(2)-structure 5-manifolds. We thereby obtain half-flat cylinders and sine-cones over 5-manifolds with Sasaki-Einstein SU(2)-structure. They are nearly Kähler in the special case of sine-cones over Sasaki-Einstein 5-manifolds. Both half-flat and nearly Kähler 6-manifolds are prominent in flux compactifications of string theory. Subsequently, we investigate instanton equations for connections on vector bundles over these half-flat manifolds. A suitable ansatz for gauge fields on these 6-manifolds reduces the instanton equation to a set of matrix equations. We finally present some of its solutions and discuss the instanton configurations obtained this way.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2015
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 187 77.27%
2 image of flag of United States United States 25 10.33%
3 image of flag of China China 15 6.20%
4 image of flag of Italy Italy 2 0.83%
5 image of flag of Argentina Argentina 2 0.83%
6 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 1 0.41%
7 image of flag of Ireland Ireland 1 0.41%
8 image of flag of Indonesia Indonesia 1 0.41%
9 image of flag of United Kingdom United Kingdom 1 0.41%
10 image of flag of Brazil Brazil 1 0.41%
    other countries 6 2.48%

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