Publications at the Riemann Center
Nearly Kähler heterotic compactifications with fermion condensates
Abstract
We revisit AdS 4 heterotic compactifications on nearly Kähler manifolds in the presence of H-flux and certain fermion condensates. Unlike previous studies, we do not assume the vanishing of the supersymmetry variations. Instead we determine the full equations of motion originating from the ten-dimensional action, and subsequently we provide explicit solutions to them on nearly Kähler manifolds at first order in α'. The Bianchi identity is also taken into account in order to guarantee the absence of all anomalies. In the presence of H-flux, which is identified with the torsion of the internal space, as well as of fermion condensates in the gaugino and dilatino sectors, new solutions are determined. These solutions provide a full classification of consistent backgrounds of heterotic supergravity under our assumptions. All the new solutions are non-supersymmetric, while previously known supersymmetric ones are recovered too. Our results indicate that fully consistent (supersymmetric or not) heterotic vacua on nearly Kähler manifolds are scarce, even on AdS 4, and they can be completely classified.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Quest: Centre for Quantum Engineering and Space-Time Research
Riemann Center for Geometry and Physics
- External Organisation(s)
-
University of Bonn
Joint Institute for Nuclear Research
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2012
- ISSN
- 1126-6708
- Publication date
- 2012
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.1007/JHEP04(2012)114 (Access:
Unknown
)
