We study certain representations of quantum toroidal gl1 algebra for q = t. We construct explicit bosonization of the Fock modules Fu(n′,n) with a nontrivial slope n′ /n. As a vector space, it is naturally identified with the basic level 1 representation of affine gln . We also study twisted W-algebras of sln acting on these Fock modules. As an application, we prove the relation on q-deformed conformal blocks which was conjectured in the study of q-deformation of isomonodromy/CFT correspondence.
Twisted representations of algebra of q-difference operators, twisted q-W algebras and conformal blocks / Bershtein, M.; Gonin, R.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 16:(2020). [10.3842/SIGMA.2020.077]
Twisted representations of algebra of q-difference operators, twisted q-W algebras and conformal blocks
Bershtein M.;
2020-01-01
Abstract
We study certain representations of quantum toroidal gl1 algebra for q = t. We construct explicit bosonization of the Fock modules Fu(n′,n) with a nontrivial slope n′ /n. As a vector space, it is naturally identified with the basic level 1 representation of affine gln . We also study twisted W-algebras of sln acting on these Fock modules. As an application, we prove the relation on q-deformed conformal blocks which was conjectured in the study of q-deformation of isomonodromy/CFT correspondence.| File | Dimensione | Formato | |
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