Some stationary points of gauged N=16 D=3 supergravity
Some stationary points of gauged N=16 D=3 supergravity
Five nontrivial stationary points are found for maximal gauged N=16 supergravity in three dimensions with gauge group SO(8)xSO(8) by restricting the potential to a submanifold of the space of SU(3)C(SO(8)xSO(8) diag singlets. The construction presented here uses the embedding of E_{7(+7)CE8(+8) to lift the analysis of N=8, D=4 supergravity performed by N. Warner to N=16, D=3, and hence, these stationary points correspond to some of the known extrema of gauged N=8, D=4 supergravity.
supergravity, high-dimensional optimization, symbolic algebra
207-219
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
2002
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Abstract
Five nontrivial stationary points are found for maximal gauged N=16 supergravity in three dimensions with gauge group SO(8)xSO(8) by restricting the potential to a submanifold of the space of SU(3)C(SO(8)xSO(8) diag singlets. The construction presented here uses the embedding of E_{7(+7)CE8(+8) to lift the analysis of N=8, D=4 supergravity performed by N. Warner to N=16, D=3, and hence, these stationary points correspond to some of the known extrema of gauged N=8, D=4 supergravity.
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Published date: 2002
Additional Information:
This work is the first publication on the research subject of the
author's PhD thesis, which won both the Otto Hahn Medal as
well as a nomination for the Heinz Billing Award for the Advancement of Scientific Computing.
Keywords:
supergravity, high-dimensional optimization, symbolic algebra
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Local EPrints ID: 46363
URI: http://eprints.soton.ac.uk/id/eprint/46363
ISSN: 0550-3213
PURE UUID: f2d77cd3-dcea-4a2e-8310-a7741faa3691
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Date deposited: 21 Jun 2007
Last modified: 15 Mar 2024 09:21
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Author:
T. Fischbacher
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