Elsevier

Physics Letters B

Volume 263, Issues 3–4, 18 July 1991, Pages 378-384
Physics Letters B

On the Casimir algebra of B2

https://doi.org/10.1016/0370-2693(91)90476-7Get rights and content

Abstract

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 52 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.

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