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  Einstein-Cartan Calculus for Exceptional Geometry

Godazgar, H., Godazgar, M., & Nicolai, H. (2014). Einstein-Cartan Calculus for Exceptional Geometry. Journal of high energy physics: JHEP, 2014(06): 021. doi:10.1007/JHEP06(2014)021.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-7E2B-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-6CA5-F
Genre: Journal Article

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 Creators:
Godazgar, Hadi1, Author              
Godazgar, Mahdi1, Author              
Nicolai, Hermann1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: In this paper we establish and clarify the link between the recently found E7 generalised geometric structures, which are based on the SU(8) invariant reformulation of D=11 supergravity proposed long ago, and newer results obtained in the framework of recent approaches to generalised geometry, where E7 duality is built in and manifest from the outset. In making this connection, the so-called generalised vielbein postulate plays a key role. We explicitly show how this postulate can be used to define an E7 valued affine connection and an associated covariant derivative, which yields a generalised curvature tensor for the E7 based exceptional geometry. The analysis of the generalised vielbein postulate also provides a natural explanation for the emergence of the embedding tensor from higher dimensions.

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 Dates: 2014-01-232014-01-282014
 Publication Status: Published in print
 Pages: 18 pages; v2: we have added some minor calculational details
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1401.5984
DOI: 10.1007/JHEP06(2014)021
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2014 (06) Sequence Number: 021 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002