Abstract
Abstract
We find the free field construction of the basic W-current and screening currents for the deformed W-superalgebra
W
q
,
t
A
(
M
,
N
)
associated with Lie superalgebra of type A(M, N). Using this free field construction, we introduce the higher W-currents and obtain a closed set of quadratic relations among them. These relations are independent of the choice of Dynkin diagrams for the Lie superalgebra A(M, N), though the screening currents are not. This allows us to define
W
q
,
t
A
(
M
,
N
)
by generators and relations.
Funder
Japan Society for the Promotion of Science
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
7 articles.
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