Details
| Original language | English |
|---|---|
| Article number | 114 |
| Journal | Journal of high energy physics |
| Volume | 2012 |
| Issue number | 4 |
| Publication status | Published - 2012 |
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.
Keywords
- Flux compactifications, Superstring vacua, Superstrings and heterotic strings
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2012, No. 4, 114, 2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nearly Kähler heterotic compactifications with fermion condensates
AU - Chatzistavrakidis, Athanasios
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Flux compactifications
KW - Superstring vacua
KW - Superstrings and heterotic strings
UR - http://www.scopus.com/inward/record.url?scp=84860646174&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2012)114
DO - 10.1007/JHEP04(2012)114
M3 - Article
AN - SCOPUS:84860646174
VL - 2012
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 4
M1 - 114
ER -