A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is shown to admit no BRST complex.
Manin triples and $N=2$ superconformal field theory
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abstract
This work was inspired by the article of Parkhomenko, who drew attention to the central role played in the work of Spindel, Sevrin, Troust and van Proyen, by Manin triples. These authors have shown how to associate to a Manin triple an $N=2$ superconformal field theory (the work of Kazama-Suzuki is a special case of their results). In this paper, we construct a deformation of their theory, with continuously varying central charge, analogous to the Fock representations of the Virasoro algebra with stress-energy tensor $-(\phi')^2/2+\alpha\phi''$.
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BMS-like algebras: canonical realisations and BRST quantisation
A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is shown to admit no BRST complex.