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On the Casimir Algebra of B2

J. Figueroa-O'Farrill
S. Schrans
K. Thielemans
Journal / Anthology

Physics Letters B
Year: 1991
Volume: 263
Issue: 3/4
Page range: 378-384

Using the conformal bootstrap we explicitly construct WB2, the Casimir algebra of B2. This algebra contains, besides an extra dimension 4 field, also a fermionic dimension 5/2 field. We then construct the most general free field realization of this algebra using two free bosons and one free fermion. Finally, we derive the screening operators and show that they are related to the long and short root of B2. Our construction hence proves several conjectures of the recent literature.

*Science > Physics > Quantum Physics