On the infinite dimensional hidden symmetries. II. q R -conformal modular functor
Abstract
The article is devoted to the
q
R
-conformal modular functors, which being ``deformations'' of the conformal modular functor (the projective representation of the category
Train(Dif
f
+
(
S
1
))
, the train of the group
Dif
f
+
(
S
1
)
of all orientation preserving diffeomorphisms of a circle) in the class of all projective modular functors (the projective representations of the category
Train(PSL(2,R))
, the train of the projective group
PSL(2,R)
), may be regarded as its ``Berezin quantizations''.