Instantons on conical half-flat 6-manifolds

authored by

Severin Bunk, Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling

Abstract

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 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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Journal of high energy physics

Volume

2015

Pages

1-38

No. of pages

38

ISSN

1126-6708

Publication date

2015

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1007/JHEP01(2015)030 (Access: Offen)