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$W$-algebras associated with centralizers in type $A$

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 نشر من قبل Alexander Molev
 تاريخ النشر 2020
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. I. Molev




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We introduce a new family of affine $W$-algebras associated with the centralizers of arbitrary nilpotent elements in $mathfrak{gl}_N$. We define them by using a version of the BRST complex of the quantum Drinfeld--Sokolov reduction. A family of free generators of the new algebras is produced in an explicit form. We also give an analogue of the Fateev--Lukyanov realization for these algebras by applying a Miura-type map.



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