Dynamically twisted algebra A q,p; π ^ ( g l 2 ^ ) as current algebra generalizing screening currents of q-deformed Virasoro algebra
Abstract
In this paper, we propose an elliptic algebra
A
q,p;
π
^
(
g
l
2
^
)
which is based on the relations
RLL=LL
R
∗
, where
R
and
R
∗
are the dynamical R-maxtrices of
A
(1)
1
type face model with the elliptic moduli shifted by the center of the algebra. From the Ding-Frenkel correspondence, we find that its corresponding (Drinfeld) current algebra at level one is the algebra of screening currents for q-deformed Virasoro algebra.We realize the elliptic algebra at level one by Miki's construction from the bosonization for the type I and type II vertex operators.We also show that the algebra
A
q,p;
π
^
(
g
l
2
^
)
is related with the algebra
A
q,p
(
g
l
2
^
)
by a dynamically twisting.