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Journal Article

Generalised geometry from the ground up

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons96552

Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons96554

Godazgar,  Mahdi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20713

Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1307.8295.pdf
(Preprint), 339KB

JHEP02_2014_075.pdf
(Any fulltext), 715KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Godazgar, H., Godazgar, M., & Nicolai, H. (2014). Generalised geometry from the ground up. Journal of High Energy Physics, 2014(02): 075. doi:10.1007/JHEP02(2014)075.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-3CBB-A
Abstract
Extending previous work on generalised geometry, we explicitly construct an E7-valued vielbein in eleven dimensions that encompasses the scalar bosonic degrees of freedom of D=11 supergravity, by identifying new "generalised vielbeine" in eleven dimensions associated with the dual 6-form potential and the dual graviton. By maintaining full on-shell equivalence with the original theory at every step, our construction altogether avoids the constraints usually encountered in other approaches to generalised geometry and, as a side product, also furnishes the non-linear ansatz for the dual (magnetic) 7-form flux for any non-trivial compactification of D=11 supergravity, complementing the known non-linear ansaetze for the metric and the 4-form flux. A preliminary analysis of the generalised vielbein postulate for the new vielbein components reveals tantalising hints of new structures beyond D=11 supergravity and ordinary space-time covariance, and also points to the possible D=11 origins of the embedding tensor. We discuss the extension of these results to E8.