The parasupersymmetric spinning particle and topological gauge fields

Journal Article · Sat Jun 20 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92001551· OSTI ID:7106666

Korchemsky, G P ^[1]

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1. Lab. of Theoretical Physics, Joint Inst. for Nuclear Research, Dubna, P.O. Box 79, 101000 Moscow (SU)

The first quantization of the D-dimensional relativistic spinning particle with the action invariant under reparametrizations and local worldline parasupersymmetric transformations is performed. The corresponding symmetry algebra is not of the Lie kind and is known as a polynomial algebra. It is found that the physical space of the massless particle is described by the strength tensors of Abelian antisymmetric gauge fields and topological gauge fields. In the special case D = 3 the Abelian Chern-Simons gauge field appears as a wave function of the particle. In this paper, the generalizations to a massive parasupersymmetric spinning particle are presented.

• OSTI ID: 7106666
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:15; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATHEMATICS
NONLINEAR PROBLEMS
POLYNOMIALS
QUANTIZATION
RELATIVISTIC RANGE
SPINORS
SUPERSYMMETRY
SYMMETRY
TENSORS
TOPOLOGY
WAVE FUNCTIONS