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  Spinorial geometry and Killing spinor equations of 6-D supergravity

Akyol, M., & Papadopoulos, G. (2011). Spinorial geometry and Killing spinor equations of 6-D supergravity. Classical and quantum gravity, 28(10): 105001. doi:10.1088/0264-9381/28/10/105001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-07FC-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-07FD-B
Genre: Journal Article

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1010.2632 (Preprint), 269KB
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 Creators:
Akyol, Mehmet, Author
Papadopoulos, George1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot Sp(1)\ltimes \bH (2)$, $Sp(1)\ltimes \bH (3,4)$, $Sp(1) (2)$, $U(1) (4)$ and $\{1\} (8)$, where in parenthesis is the number of supersymmetries preserved in each case. If the isotropy group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The $Sp(1)\ltimes \bH$ case admits a descendant solution preserving 3 out of 4 supersymmetries due to the hyperini Killing spinor equation. If the isotropy group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the $Sp(1)$ and U(1) cases, the spacetime admits 3 and 4 parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie group. The conditions imposed by the Killing spinor equations on all other fields are also determined.

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 Dates: 2010-10-132011-03-252011
 Publication Status: Published in print
 Pages: 34 pages, Minor changes
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1010.2632
DOI: 10.1088/0264-9381/28/10/105001
URI: http://arxiv.org/abs/1010.2632
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (10) Sequence Number: 105001 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1