Supersymmetric Walgebras
Abstract
We explain a general theory of Walgebras in the context of supersymmetric vertex algebras. We describe the structure of Walgebras associated with odd nilpotent elements of Lie superalgebras in terms of their free generating sets. As an application, we produce explicit free generators of the Walgebra associated with the odd principal nilpotent element of the Lie superalgebra gl (n +1 n ).
 Publication:

Letters in Mathematical Physics
 Pub Date:
 February 2021
 DOI:
 10.1007/s11005020013461
 arXiv:
 arXiv:1901.06557
 Bibcode:
 2021LMaPh.111....6M
 Keywords:

 Supersymmetric Vertex algebras;
 W superalgebras;
 Free generating sets;
 Mathematical Physics;
 Mathematics  Representation Theory
 EPrint:
 24pages