Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-09-05
J.Math.Phys. 36 (1995) 2030-2052
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, LATEX, preprint IPNO/TH 94-01
Scientific paper
10.1063/1.531100
Coherent state operators (CSO) are defined as operator valued functions on G=SL(n,C), homogeneous with respect to right multiplication by lower triangular matrices. They act on a model space containing all holomorphic finite dimensional representations of G with multiplicity 1. CSO provide an analytic tool for studying G invariant 2- and 3-point functions, which are written down in the case of $SU_3$. The quantum group deformation of the construction gives rise to a non-commutative coset space. We introduce a "standard" polynomial basis in this space (related to but not identical with the Lusztig canonical basis) which is appropriate for writing down $U_q(sl_3)$ invariant 2-point functions for representaions of the type $(\lambda,0)$ and $(0,\lambda)$. General invariant 2-point functions are written down in a mixed Poincar\'e-Birkhoff-Witt type basis.
Sazdjian Hagop
Stanev Yassen S.
Todorov Ivan T.
No associations
LandOfFree
$SU_3$ coherent state operators and invariant correlation functions and their quantum group counterparts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with $SU_3$ coherent state operators and invariant correlation functions and their quantum group counterparts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $SU_3$ coherent state operators and invariant correlation functions and their quantum group counterparts will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169595