$A^{(2)}_2$ Parafermions: A New Conformal Field Theory

Details $A^{(2)}_2$ Parafermions: A New Conformal Field Theory $A^{(2)}_2$ Parafermions: A New Conformal Field Theory

2002-02-06

arxiv.org/abs/hep-th/0202031v2

Nucl.Phys. B636 (2002) 549-567

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 19 pages. Version to appear in Nucl. Phys. B

Scientific paper

A new parafermionic algebra associated with the homogeneous space $A^{(2)}_2/U(1)$ and its corresponding $Z$-algebra have been recently proposed. In this paper, we give a free boson representation of the $A^{(2)}_2$ parafermion algebra in terms of seven free fields. Free field realizations of the parafermionic energy-momentum tensor and screening currents are also obtained. A new algebraic structure is discovered, which contains a $W$-algebra type primary field with spin two.

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