We discuss the twisted vertex algebras involved in the two bosonizations of the CKP hierarchy. We show that they can be realized through the bicharacter construction of twisted vertex algebras, by endowing their Fock spaces with additional Hopf module-algebra structure and selecting appropriate bicharacters. We use the bicharacter descriptions to derive certain vacuum expectation values and identities.
CITATION STYLE
Anguelova, I. I. (2018). The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values. In Springer Proceedings in Mathematics and Statistics (Vol. 263, pp. 275–292). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-981-13-2715-5_17
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