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arXiv · 1409.0030

Instantons on conical half-flat 6-manifolds

Severin Bunk·Olaf Lechtenfeld·Alexander D. Popov·Marcus Sperling
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Abstract

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 Kahler in the special case of sine-cones over Sasaki-Einstein 5-manifolds. Both half-flat and nearly Kahler 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.

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Severin Bunk, Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling. 2014-08-29. Instantons on conical half-flat 6-manifolds. https://doi.org/10.1007/jhep01(2015)030

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