{BRS} Cohomology and a Feigin-fuchs Representation of {Kac-Moody} and Parafermionic Theories

Distler, Jacques; Qiu, Zong-an

doi:10.1016/0550-3213(90)90441-F

{BRS} Cohomology and a Feigin-fuchs Representation of {Kac-Moody} and Parafermionic Theories

Jacques Distler
(
- Cornell U., LNS
)
,
Zong-an Qiu
(
- Cornell U., LNS
)

Apr, 1989

14 pages

Published in:

Nucl.Phys.B 336 (1990) 533-546

Published: 1990

DOI:

10.1016/0550-3213(90)90441-F

Report number:

CLNS-89-911

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Abstract: (Elsevier)

In this paper, we introduce a free field representation of SU(2) K Kač-Moody algebras and the related Z K - parafermion theories. Using this representation, we calculate the associated BRS cohomology, and thereby derive the character formulae for these theories. The resulting expressions yield a new representation of the “string functions” of Kač and Peterson. The generalization to other Kač-Moody algebras is sketched.

algebra: Kac-Moody
fermion: parastatistics
cohomology: Becchi-Rouet-Stora
algebra: representation
algebra: SU(2)
algebra: SO(2,1)
algebra: SU(N)

References(17)

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