Casimir WAN algebras as the truncated W algebra

H. T. Özer*

*Corresponding author for this work

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1 Citation (Scopus)


The complete structure of the Casimir WAN algebras is shown to exist in such a way that the Casimir WAN algebra is a kind of truncated type of ∞ algebra both in the primary and in the quadratic basis, first using the associativity conditions in the basis of primary fields and second using the Miura basis coming from the free field realization as a different basis. We can conclude that the Casimir WAN algebra is a kind of truncated type of W algebra, so it is clear from any construction of W algebra that by putting infinite number of fields Ws with Ws > N to zero, we arrive at the Casimir WAN algebra. We concentrated in this work only for the particular case of 5 algebra since this example gives us explicitly a method on how to deal with the general case N.

Original languageEnglish
Article number1750121
JournalInternational Journal of Geometric Methods in Modern Physics
Issue number9
Publication statusPublished - 1 Sept 2017

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© 2017 World Scientific Publishing Company.


  • Conformal
  • W symmetry


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