Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-08
in "New Developments in Field Theory", Ed. O. Kovras, Nova Science Publishers, 2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTex 20 pages. Invited contribution for the volume "Trends in Field Theory Research" by Nova Science Publishers Inc., New Yor
Scientific paper
Super coherent states are useful in the explicit construction of representations of superalgebras and quantum superalgebras. In this contribution, we describe how they are used to construct (quantum) boson-fermion realizations and representations of (quantum) superalgebras. We work through a few examples: $osp(1|2)$ and its quantum version $U_t[osp(1|2)]$, $osp(2|2)$ in the non-standard and standard bases and $gl(2|2)$ in the non-standard basis. We obtain free boson-fermion realizations of these superalgebras. Applying the boson-fermion realizations, we explicitly construct their finite-dimensional representations. Our results are expected to be useful in the study of current superalgebras and their corresponding conformal field theories.
Zhang Yao-Zhong
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