Event calendar file
4-12 November 2010
Morelia, Michoacan
Mexico/General timezone
- arteaga@ifm.umich.mx
Support
Morelia, Michoacan
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Main Hall, Hotel Fiesta Inn
String theory and field theory
Fock-like representations for algebraically interacting paraparticles
Speakers
- Dr. Konstantinos KANAKOGLOU
Primary authors
- Dr. Konstantinos KANAKOGLOU (University of Michoacan (UMSNH) - Institute of Physics and Mathematics (IFM))
Co-authors
- Prof. Alfredo HERRERA - AGUILAR (University of Michoacan (UMSNH) - Institute of Physics and Mathematics (IFM))
Abstract content
We will present and study an algebra describing a mixed paraparticle model, known in the bibliography as ``The Relative Parabose Set algebra (\textsc{Rpbs})''. Focusing in the special case of a single parabosonic and a single parafermionic degree of freedom $P_{BF}^{(1,1)}$, we will construct a class of Fock-like representations of this algebra, dependent on a positive parameter $p$ a kind of \emph{generalized parastatistics order}. Mathematical properties of the Fock-like modules will be investigated and properties such as ladder operators, irreducibility (for the carrier spaces) and $(\mathbb{Z}{2} \times \mathbb{Z}{2})$-gradings (for both the carrier spaces and the algebra itself) will be established.
