$N=2$ Superconformal Models and Their Free Field Realization

Ohta, Nobuyoshi; Suzuki, Hisao

doi:10.1016/0550-3213(90)90033-A

$N=2$ Superconformal Models and Their Free Field Realization

Aug, 1989

23 pages

Published in:

Nucl.Phys.B 332 (1990) 146-168

Published: 1990

DOI:

10.1016/0550-3213(90)90033-A

Report number:

OS-GE-01-89

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Abstract: (Elsevier)

We discuss whether the N = 2 superconformal coset models can be described in terms of free fields by bosonizing directly the currents in the coset models. For this purpose, we develop the N = 2 superfield formalism for the N = 2 supercoset models. It is shown that this N = 2 superfield formulation naturally leads to a simple free field realization (or bosonization) of the supersymmetrized parafermionic models SU(2)/U(1) (the N = 2 minimal models) and SU(3)/U(1) 2 . We also discuss various relations between the bosonized forms of the currents in coset models.

field theory: conformal
supersymmetry: superfield
bosonization
fermion: parastatistics
algebra: Kac-Moody
symmetry: SU(2)/U(1)
current algebra
symmetry: SU(3)/U(1) x U(1)

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