Vacua of Maximal Gauged D=3 Supergravities
Vacua of Maximal Gauged D=3 Supergravities
We analyze the scalar potentials of maximal gauged three-dimensional supergravities which reveal a surprisingly rich structure. In contrast to maximal supergravities in dimensions D>3, all these theories admit a maximally supersymmetric (N=16) ground state with negative cosmological constant Lambda<0, except for the gauge group SO(4,4)^2, for which Lambda=0. We compute the mass spectra of bosonic and fermionic fluctuations around these vacua and identify the unitary irreducible representations of the relevant background (super)isometry groups to which they belong. In addition, we find several stationary points which are not maximally supersymmetric, and determine their complete mass spectra as well. In particular, we show that there are analogs of all stationary points found in higher dimensions, among them de Sitter vacua in the theories with noncompact gauge groups SO(5,3)^2 and SO(4,4)^2, as well as anti-de Sitter vacua in the compact gauged theory preserving 1/4 and 1/8 of the supersymmetries. All the dS vacua have tachyonic instabilities, whereas there do exist non-supersymmetric AdS vacua which are stable, again in contrast to the D>3 theories.
supergravity, optimization, gauge theory, high energy physics, spontaneous symmetry breaking
5297-5333
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Nicolai, H.
d72fa112-3738-4426-a60c-d56e3c57d2ef
Samtleben, H.
95cceebe-452c-45f7-abed-36735ea0f843
2002
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Nicolai, H.
d72fa112-3738-4426-a60c-d56e3c57d2ef
Samtleben, H.
95cceebe-452c-45f7-abed-36735ea0f843
Fischbacher, T., Nicolai, H. and Samtleben, H.
(2002)
Vacua of Maximal Gauged D=3 Supergravities.
Classical and Quantum Gravity, 19 (21), .
(doi:10.1088/0264-9381/19/21/302).
Abstract
We analyze the scalar potentials of maximal gauged three-dimensional supergravities which reveal a surprisingly rich structure. In contrast to maximal supergravities in dimensions D>3, all these theories admit a maximally supersymmetric (N=16) ground state with negative cosmological constant Lambda<0, except for the gauge group SO(4,4)^2, for which Lambda=0. We compute the mass spectra of bosonic and fermionic fluctuations around these vacua and identify the unitary irreducible representations of the relevant background (super)isometry groups to which they belong. In addition, we find several stationary points which are not maximally supersymmetric, and determine their complete mass spectra as well. In particular, we show that there are analogs of all stationary points found in higher dimensions, among them de Sitter vacua in the theories with noncompact gauge groups SO(5,3)^2 and SO(4,4)^2, as well as anti-de Sitter vacua in the compact gauged theory preserving 1/4 and 1/8 of the supersymmetries. All the dS vacua have tachyonic instabilities, whereas there do exist non-supersymmetric AdS vacua which are stable, again in contrast to the D>3 theories.
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Published date: 2002
Keywords:
supergravity, optimization, gauge theory, high energy physics, spontaneous symmetry breaking
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Local EPrints ID: 46364
URI: http://eprints.soton.ac.uk/id/eprint/46364
ISSN: 0264-9381
PURE UUID: 426d6972-e5fd-4636-a210-8ee829a0a812
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Date deposited: 21 Jun 2007
Last modified: 15 Mar 2024 09:21
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Author:
T. Fischbacher
Author:
H. Nicolai
Author:
H. Samtleben
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