Heterotic compactifications on nearly Kahler manifolds

Lechtenfeld, Olaf; Nolle, Christoph; Popov, Alexander D.

doi:10.1007/JHEP09(2010)074

Heterotic compactifications on nearly Kahler manifolds

Olaf Lechtenfeld
(
- Leibniz U., Hannover
)
,
Christoph Nolle
(
- Leibniz U., Hannover
)
,
Alexander D. Popov
(
- Dubna, JINR
)

Jul, 2010

17 pages

Published in:

JHEP 09 (2010) 074

e-Print:

1007.0236 [hep-th]

DOI:

10.1007/JHEP09(2010)074

Report number:

ITP-UH-12-10

View in:

pdf

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Abstract: (arXiv)

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of SU(3)/U(1)xU(1) for the internal manifold, we show that it satisfies not only the supersymmetry constraints but also the equations of motion with string corrections of order alpha'. Furthermore, we present a non-supersymmetric model. In both solutions we find confirmed a recent result of Ivanov on the connection used for anomaly cancellation. Interestingly, the volume of the internal space is fixed by the supersymmetry constraints and/or the equations of motion.

Note:

1+16 pages

Flux compactifications
Superstring Vacua
Differential and Algebraic Geometry
supersymmetry: constraint
space: anti-de Sitter
string: correction
dimension: 4
compactification
string model: heterotic
anomaly: conformal

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