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.
On the BRST Operator Structure of the N=2 String
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abstract
The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent copies at ghost number two, and conjecture that there is a copy at ghost number three. The $N=2$ string has a twisted $N=4$ superconformal symmetry generated by the $N=2$ superstress tensor, the BRST supercurrent, the antighost superfield, and the ghost number supercurrent.
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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.