osp(1|2) Conformal Field Theory
I. P. Ennes, A. V. Ramallo, J. M. Sanchez de Santos
TL;DR
This paper reviews recent developments in osp(1|2) conformal field theories, focusing on representation theory, character formulas, and the structure of conformal blocks, fusion rules, and structure constants.
Contribution
It provides new insights into the structure constants and fusion rules of osp(1|2) conformal field theories using free field representations.
Findings
Derived character formulas for osp(1|2) representations
Obtained structure constants via free field methods
Elucidated fusion rules in the model
Abstract
We review some results recently obtained for the conformal field theories based on the affine Lie superalgebra osp(1|2). In particular, we study the representation theory of the osp(1|2) current algebras and their character formulas. By means of a free field representation of the conformal blocks, we obtain the structure constants and the fusion rules of the model. (Lecture delivered at the CERN-Santiago de Compostela-La Plata Meeting, "Trends in Theoretical Physics", La Plata, Argentina, April-May 1997).
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