The geometry of Lie algebras and Broken SO(6) Symmetrics
The geometry of Lie algebras and Broken SO(6) Symmetrics
Non-linear realisations of the groups SU(2), SO(1,4) and SO(2,4) are analysed, described by the coset spaces SU(2)/U(1), SO(1,4)/SO(1,3) and SO(2,4)/SO(1,3)⊗SO(1,1). The Lie algebras of certain special unitary and special orthogonal groups are studied and their projection operators are determined in order to facilitate the above analyses, in particular that of SO(2,4)/SO(1,3)⊗SO(1,1). The analysis consists of determining the transformation properties of the Goldstone bosons, constructing the most general possible Lagrangian for the realisations and finding the metric of the coset space.
University of Southampton
Lawrence, Tom Russell
f7c035f5-9010-442a-b8b5-1d764623974a
2001
Lawrence, Tom Russell
f7c035f5-9010-442a-b8b5-1d764623974a
Lawrence, Tom Russell
(2001)
The geometry of Lie algebras and Broken SO(6) Symmetrics.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Non-linear realisations of the groups SU(2), SO(1,4) and SO(2,4) are analysed, described by the coset spaces SU(2)/U(1), SO(1,4)/SO(1,3) and SO(2,4)/SO(1,3)⊗SO(1,1). The Lie algebras of certain special unitary and special orthogonal groups are studied and their projection operators are determined in order to facilitate the above analyses, in particular that of SO(2,4)/SO(1,3)⊗SO(1,1). The analysis consists of determining the transformation properties of the Goldstone bosons, constructing the most general possible Lagrangian for the realisations and finding the metric of the coset space.
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Published date: 2001
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Local EPrints ID: 464513
URI: http://eprints.soton.ac.uk/id/eprint/464513
PURE UUID: ddf0a42c-62c7-482f-b7bb-f8026c467a87
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Date deposited: 04 Jul 2022 23:43
Last modified: 16 Mar 2024 19:34
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Author:
Tom Russell Lawrence
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