Feigin-Fuchs Derivation of SU(1,1) Parafermion Characters

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Nucl.Phys.B

DOI:https://doi.org/10.1016/0550-3213(91)90150-V· OSTI ID:2998894

Griffin, Paul A. ^[1]; Hernandez, Oscar F. ^[2]

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1. Fermilab
2. Wisconsin U., Madison

We use the Feigin-Fuchs Coulomb gas construction, with two free gaussian bosons, to study the representation theory of the SU(1,1) parafermion models. We derive the chiral algebra and highest weights for unitary finitely reducible models, and calculate the irreducible parafermion characters which correspond to continous and discrete unitary SU(1,1) representations.

• Research Organization: Wisconsin U., Madison; Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 2998894
• Report Number(s): MAD-TH-90-19; FERMILAB-PUB-90-191-T; oai:inspirehep.net:299068
• Journal Information: Nucl.Phys.B, Journal Name: Nucl.Phys.B Vol. 356
• Country of Publication: United States
• Language: English