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The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values

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Book cover Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 (LT-XII/QTS-X 2017)

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Abstract

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.

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Acknowledgements

We would like to express our gratitude to all the organizers of the International Workshop “Lie Theory and Its Applications in Physics”, and especially Vladimir Dobrev, for their long standing and continuing effort to provide such an excellent forum for the researchers in the areas of Lie theory, quantum symmetries, vertex algebras, and mathematical physics in general, to meet, interact and exchange ideas; thank you.

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Authors and Affiliations

  1. Department of Mathematics, College of Charleston, Charleston, SC, USA

    Iana I. Anguelova

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  1. Iana I. Anguelova
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Correspondence to Iana I. Anguelova .

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Editors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Anguelova, I.I. (2018). The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 . LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 263. Springer, Singapore. https://doi.org/10.1007/978-981-13-2715-5_17

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