Twisted and nontwisted deformed Virasoro algebras via vertex operators of U_{q}(sl_{^2})
Abstract
The work is devoted to a probably new connection between deformed Virasoro algebra and quantum affine algebra sl_{2}. We give an explicit realization of Virasoro current via the vertex operators of the level 1 integrable representations of quantum affine algebra sl_{2}. The same is done for a twisted version of deformed Virasoro algebra.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 February 2021
 DOI:
 10.1007/s11005021013629
 arXiv:
 arXiv:2003.12472
 Bibcode:
 2021LMaPh.111...22B
 Keywords:

 Deformed Virasoro algebra;
 Quantum affine algebra;
 Vertex operators;
 Mathematics  Quantum Algebra;
 Mathematical Physics;
 Mathematics  Representation Theory
 EPrint:
 Lett. Math. Phys. 111, 22 (2021)