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Abstract

In this thesis we investigate two areas of application of the
coset space dimensional reduction (CSDR) scheme.
(i) In its earliest applications CSDR was used to obtain
Yang-Mills-Higgs theories from pure Yang-Mills theories in higher
dimensions. In certain models relationships between the parameters
of the four dimensional theory were obtained. We consider the effect
of one loop corrections to these models and find that the relationships
do not survive beyond the tree level.
(ii) More recently coset space dimensional reduction has found
an application in Becchi-Rouet- Stora-Tyutin supersymmetry. An elegant
framework for quantisation of gauge fields in which the gauge fixing
and compensating ghosts arise automatically is over six-dimensional,
superspace. Taking the coset space to be Sp(2)ΛT 2/Sp(2) the extended
BRST transformations correspond to translations in the extra two
coordinates. We apply this to two new cases.
Firstly, we consider rank-R antisymmetric tensor gauge fields.
After dimensional reduction we obtain two (R-1) fermionic ghosts,
three (R-2) bosonic ghosts, down to (R+1) scalar ghosts. This
is the correct ghost spectrum required to formally ensure unitarity
of the theory.
Secondly, we covariantly quantise spinor-vector gauge fields in
infinite dimensional representations of OSp(4/2). After dimensional
reduction we find the usual spectrum of Fadeev-Popov and Nielsen-Kallosh
ghosts. Finally, we examine in general the inhomogeneous Grassmann
rotation group Sp(2)ΛT 2 and its representations which underlie all
the above applications. The states can be labelled by pseudomass
and pseudospin while the physical state vectors correspond to wave
packets over fermionic momentum.

Item Type:	Thesis - PhD
Authors/Creators:	Henderson, JA
Keywords:	Gauge fields (Physics)
Copyright Holders:	The Author
Copyright Information:	Copyright 1987 the Author - The University is continuing to endeavour to trace the copyright owner(s) and in the meantime this item has been reproduced here in good faith. We would be pleased to hear from the copyright owner(s).
Additional Information:	Thesis (Ph.D.)--University of Tasmania, 1988. Includes bibliographies
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