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On conformal field theories based on Takiff superalgebras | | Thomas Quella
; | | Date: |
14 Apr 2020 | | Abstract: | We revisit the construction of conformal field theories based on Takiff
algebras and superalgebras that was introduced by Babichenko and Ridout. Takiff
superalgebras can be thought of as truncated current superalgebras with
Z-grading which arise from taking p copies of a Lie superalgebra g and placing
them in the degrees s=0,...,p-1. Using suitably defined non-degenerate
invariant forms we show that Takiff superalgebras give rise to families of
conformal field theories with central charge c=p sdim(g). The resulting
conformal field theories are defined in the standard way, i.e. they lend
themselves to a Lagrangian description in terms of a WZW model and their chiral
energy momentum tensor is the one obtained naturally from the usual Sugawara
construction. In view of their intricate representation theory they provide
interesting examples of conformal field theories. | | Source: | arXiv, 2004.6456 | | Services: | Forum | Review | PDF | Favorites | |
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