Details
| Original language | English |
|---|---|
| Article number | 30 |
| Pages (from-to) | 1-38 |
| Number of pages | 38 |
| Journal | Journal of high energy physics |
| Volume | 2015 |
| Issue number | 1 |
| Publication status | Published - 2015 |
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.
Keywords
- Differential and Algebraic Geometry, Flux compactifications, Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2015, No. 1, 30, 2015, p. 1-38.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Instantons on conical half-flat 6-manifolds
AU - Bunk, Severin
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Sperling, Marcus
N1 - Publisher Copyright: © 2015, The Author(s). Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Differential and Algebraic Geometry
KW - Flux compactifications
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=84920774136&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2015)030
DO - 10.1007/JHEP01(2015)030
M3 - Article
AN - SCOPUS:84920774136
VL - 2015
SP - 1
EP - 38
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 1
M1 - 30
ER -