The many vacua of gauged extended supergravities
The many vacua of gauged extended supergravities
A novel method is presented which employs advanced numerical techniques
used in the engineering sciences to find and study the properties of nontrivial
vacua of gauged extended supergravity models. While this method only produces
approximate numerical data rather than analytic results, it overcomes the previous
limitation of only being able to find vacua with large residual unbroken gauge symmetry
groups. The effectiveness of this method is demonstrated by applying it to the
technically most challenging D ? 3 scalar potential—that of SO(8) × SO(8) gauged
N = 16 Chern–Simons Supergravity in D = 3. Extensive data on the properties of
99 different vacua (92 of them new) of this model are given. Furthermore, techniques
are briefly discussed which should allow using this numerical information as an input
to the construction of semi-automatic stringent analytic proofs on the locations and
properties of vacua. It hence is argued that these combined techniques presumably are
powerful enough to systematically map all the nontrivial vacua of every supergravity
model.
chern–simons supergravity, numerical methods, automatic
differentiation, maximal supergravity, gauged supergravity, vacuum solutions
315-411
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
19 December 2008
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
Fischbacher, Thomas
(2008)
The many vacua of gauged extended supergravities.
General Relativity and Gravitation, 41 (2), .
(doi:10.1007/s10714-008-0736-z).
Abstract
A novel method is presented which employs advanced numerical techniques
used in the engineering sciences to find and study the properties of nontrivial
vacua of gauged extended supergravity models. While this method only produces
approximate numerical data rather than analytic results, it overcomes the previous
limitation of only being able to find vacua with large residual unbroken gauge symmetry
groups. The effectiveness of this method is demonstrated by applying it to the
technically most challenging D ? 3 scalar potential—that of SO(8) × SO(8) gauged
N = 16 Chern–Simons Supergravity in D = 3. Extensive data on the properties of
99 different vacua (92 of them new) of this model are given. Furthermore, techniques
are briefly discussed which should allow using this numerical information as an input
to the construction of semi-automatic stringent analytic proofs on the locations and
properties of vacua. It hence is argued that these combined techniques presumably are
powerful enough to systematically map all the nontrivial vacua of every supergravity
model.
Text
Fisc_08b.pdf
- Accepted Manuscript
More information
Published date: 19 December 2008
Keywords:
chern–simons supergravity, numerical methods, automatic
differentiation, maximal supergravity, gauged supergravity, vacuum solutions
Identifiers
Local EPrints ID: 65047
URI: http://eprints.soton.ac.uk/id/eprint/65047
ISSN: 0001-7701
PURE UUID: fcb54248-b1b1-4fda-920c-bb1d6e9e3e06
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Date deposited: 29 Jan 2009
Last modified: 15 Mar 2024 12:05
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Author:
Thomas Fischbacher
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