Details
| Original language | English |
|---|---|
| Pages (from-to) | 59-82 |
| Number of pages | 24 |
| Journal | Nuclear Physics B |
| Volume | 883 |
| Issue number | 1 |
| Publication status | Published - Jun 2014 |
Abstract
We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with fluxes since they carry geometric flux by construction. They are generalized Calabi-Yau spaces and therefore simple examples of generalized geometry at work. We identify and classify Dirac structures on nilmanifolds, which are maximally isotropic subbundles closed under the Courant bracket. In the presence of non-vanishing fluxes, these structures are twisted and closed under appropriate extensions of the Courant bracket. Twisted Dirac structures on a nilmanifold may carry multiple coexistent fluxes of any type. We also show how dual Dirac structures combine to Courant algebroids and work out an explicit example where all types of generalized fluxes coexist. These results may be useful in the context of general flux compactifications in string theory.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 883, No. 1, 06.2014, p. 59-82.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dirac structures on nilmanifolds and coexistence of fluxes
AU - Chatzistavrakidis, Athanasios
AU - Jonke, Larisa
AU - Lechtenfeld, Olaf
N1 - Funding Information: We would like to thank F.F. Gautason, D. Mylonas, J. Vysoký, S. Watamura and especially P. Schupp for discussions. This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 . Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/6
Y1 - 2014/6
N2 - We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with fluxes since they carry geometric flux by construction. They are generalized Calabi-Yau spaces and therefore simple examples of generalized geometry at work. We identify and classify Dirac structures on nilmanifolds, which are maximally isotropic subbundles closed under the Courant bracket. In the presence of non-vanishing fluxes, these structures are twisted and closed under appropriate extensions of the Courant bracket. Twisted Dirac structures on a nilmanifold may carry multiple coexistent fluxes of any type. We also show how dual Dirac structures combine to Courant algebroids and work out an explicit example where all types of generalized fluxes coexist. These results may be useful in the context of general flux compactifications in string theory.
AB - We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with fluxes since they carry geometric flux by construction. They are generalized Calabi-Yau spaces and therefore simple examples of generalized geometry at work. We identify and classify Dirac structures on nilmanifolds, which are maximally isotropic subbundles closed under the Courant bracket. In the presence of non-vanishing fluxes, these structures are twisted and closed under appropriate extensions of the Courant bracket. Twisted Dirac structures on a nilmanifold may carry multiple coexistent fluxes of any type. We also show how dual Dirac structures combine to Courant algebroids and work out an explicit example where all types of generalized fluxes coexist. These results may be useful in the context of general flux compactifications in string theory.
UR - http://www.scopus.com/inward/record.url?scp=84897553669&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2014.03.013
DO - 10.1016/j.nuclphysb.2014.03.013
M3 - Article
AN - SCOPUS:84897553669
VL - 883
SP - 59
EP - 82
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1
ER -