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Superalgebraisation of BFV-BRST quantisation


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Corney, Stuart(Stuart Paul) 2000 , 'Superalgebraisation of BFV-BRST quantisation', PhD thesis, University of Tasmania.

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In recent years it has been shown that, for the BFV-BRST extended phase-space
quantisation of relativistic systems, hidden higher symmetry superalgebras are
relevant. We examine the relationship between the BFV-BRST extended phase
space construction for several cases and the structure of certain classes of representations
of orthosymplectic superalgebras osp(D, 2/2) and their inhomogeneous
extensions. Our motivation is to show, by way of several examples, how the hidden
symmetry is manifested in the BFV-BRST method.
In this class of superalgebras the physical particle states (that is, irreducible
representations of the Poincare algebra, carried on appropriate types of relativistic
wavefunctions) appear as the resolution of the BRST complex. This complex
is naturally provided via an appropriate nilpotent odd generator (the BRST operator).

Specific examples studied are the relativistic scalar and spinning particle, as
well as a generalisation of the scalar particle in two dimensions, which we show
to be associated with the exceptional superalgebra D(2, 1; a). This superalgebra
is isomorphic to osp (2, 2/2) for a = 1.

Item Type: Thesis - PhD
Authors/Creators:Corney, Stuart(Stuart Paul)
Keywords: Superalgebras, Particles, Relativistic, Scalar field theory, Dirac equation
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Copyright 2000 the Author - The University is continuing to endeavour to trace the copyright
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Thesis (Ph.D.)--University of Tasmania, 2000. Includes bibliographical references

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